1) Find the equations of lines (in point-slope form) passing through (-1,4) having the given characteristics:

Size: px
Start display at page:

Download "1) Find the equations of lines (in point-slope form) passing through (-1,4) having the given characteristics:"

Transcription

1 AP Calculus AB Summer Worksheet Name 10 This worksheet is due at the beginning of class on the first day of school. It will be graded on accuracy. You must show all work to earn credit. You may work together with other students but each must turn in his/her own sheet. Please refer to your old Honors Precalculus or Precalculus notes. any questions to: Be sure to round all decimal answers to 3 decimal places. 1) Find the equations of lines (in point-slope form) passing through (-1,4) having the given characteristics: a) Passing through (-4, -7) b) Perpendicular to x 3y = 5 ) The velocity of sound in dry air increases as the temperature increases. At 40 o C, sound travels at a rate of about 355 meters per second. At 49 o C, it travels at a rate of about 360 meters per second a) Write a linear equation, in slope-intercept form, for the velocity v of sound as a function of the temperature T. b) Use this equation to find the velocity of sound at 60 o C.

2 -- 3) In 1998, the product was worth $0,600. The value is expected to decrease in value $1500 per year during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the year t. ( Let t = 8 represent 1998) 4) Graph the following lines: a) x + y + 6 = 0 b) x = 4 5) An employee has two options for positions in a large corporation. One position pays $1.50 per hour plus an additional unit rate of $0.75 per unit produced. The other pays $9.0 per hour plus a unit rate of $1.30. a) Find linear equations for hourly wages W in terms of x, the number of units produced per hour, for each of the options. b) Algebraically, find the point of intersection. c) Interpret the meaning of the point of intersection. How would you use this information to select the correct option if the goal were to obtain the highest hourly wage?

3 -3-6) Solve graphically. Draw a rough sketch of the graphs and give the solution(s). a) x = 15 4x b) y = 5 x y = x 3-3 c) y = 0.77x 1.3x 9.31 y = 500 7) Evaluate the following expressions, given that f(x) = -x - 5x 7. a) f(-4) b) f(x - 1) c) f(c) d) f(x + h) - f(x) h

4 -4-8) Solve for y. Determine whether y is a function of x. a) x + y = 4 b) x y x + 4y = 0 9) Given: A(-, 1) and B (3, 4) a) Find the distance between A and B. b) Find the midpoint of segment AB. 10) Solve for x: 5 = ln (7x + 18) 11) Solve for x: 14e 3x+ = 560 1) Solve for x: ln (x + 9) - = ln x

5 -5- Graph the following: 13) y = sin x 14) y = sec x ) y = [ x ] 16) y = x, x < 0 x - 3, 0 x 5 x, x > Simplify: 17) ) x 3 x x

6 -6- Write the equation of the lines with the following characteristics. Put answers in point-slope form: 19) Passing through (, -5) with slope = /3: 0) Passing through (6, -8) and (9,4): 1) The symbol is read and means. Complete the following Pythagorean triples: ) 7, 4, 3) 1, 35, 4), 60, 61 5) 9,, 41 6) 3,, 5 7), 15, 17 8) Solve for x if 0 x < π: a) sin x + 3 sin x = -1 b) csc x - = 0 c) sin x + cos x = -1

7 -7-9) Find the exact value of each without using a calculator: a) cot 45 o b) sec 180 o c) sin 10 o d) cos (7π/6) e) csc (-3π/4) f) tan (-7π) 30) Find all values of θ on the interval 0 θ < π: a) sin θ = -½ b) cot θ = -1 c) cos (3θ) = ½ 31) State the domain and range for each function: DOMAIN RANGE a) y = ln (x - 3) b) y = x 8x - 48 c) y = -x + 10x + 15 d) y = 5x - 70x x + 4x - 1

8 -8-3) Find the x-intercepts and y-intercepts algebraically: a) y = x + x - b) y = x 9 x c) y = x + 3x (3x + 1) 33) Find each of the following if f(x) = 3x 4 g(x) = x 5 h(x) = 5x - a) f(g(x)) b) g(f(x)) c) f(g(-3)) d) g(h(-4)) e) f -1 (x) f) h -1 (x) True or false?? 34) sin (30 o + 60 o ) = sin 30 o + sin 60 o 35) ln (x + 5) = ln x + ln 5

9 -9-36) Sketch the graph of f(x) without using technology, then provide the requested information: f(x) = 4x - x + a) domain: b) vertical asymptotes : c) horizontal asymptotes: d) holes: e) x-intercept(s): f) y-intercept: 37) Sketch the graph of f(x) without using technology, then provide the requested information: a) g(-1): b) lim g(x) x - c) g(): d) lim g(x) x

Southington High School 720 Pleasant Street Southington, CT 06489

Southington High School 720 Pleasant Street Southington, CT 06489 BLUE KNIGHTS Southington High School 720 Pleasant Street Southington, CT 06489 Phone: (860) 628-3229 Fax: (860) 628-3397 Home Page: www.southingtonschools.org Principal Brian Stranieri Assistant Principals

More information

AP Calculus I Summer Packet

AP Calculus I Summer Packet AP Calculus I Summer Packet This will be your first grade of AP Calculus and due on the first day of class. Please turn in ALL of your work and the attached completed answer sheet. I. Intercepts The -intercept

More information

AP Calculus BC Summer Assignment Mrs. Comeau

AP Calculus BC Summer Assignment Mrs. Comeau AP Calculus BC Summer Assignment 2015-2016 Mrs. Comeau Please complete this assignment DUE: the first day of class, SEPTEMBER 2nd. Email me if you have questions, or need help over the summer. I would

More information

SANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET

SANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET SANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET 017-018 Name: 1. This packet is to be handed in on Monday August 8, 017.. All work must be shown on separate paper attached to the packet. 3.

More information

Math 121: Calculus 1 - Fall 2013/2014 Review of Precalculus Concepts

Math 121: Calculus 1 - Fall 2013/2014 Review of Precalculus Concepts Introduction Math 121: Calculus 1 - Fall 201/2014 Review of Precalculus Concepts Welcome to Math 121 - Calculus 1, Fall 201/2014! This problems in this packet are designed to help you review the topics

More information

Math 121: Calculus 1 - Winter 2012/2013 Review of Precalculus Concepts

Math 121: Calculus 1 - Winter 2012/2013 Review of Precalculus Concepts Introduction Math 11: Calculus 1 - Winter 01/01 Review of Precalculus Concepts Welcome to Math 11 - Calculus 1, Winter 01/01! This problems in this packet are designed to help you review the topics from

More information

Math 121: Calculus 1 - Fall 2012/2013 Review of Precalculus Concepts

Math 121: Calculus 1 - Fall 2012/2013 Review of Precalculus Concepts Introduction Math 11: Calculus 1 - Fall 01/01 Review of Precalculus Concepts Welcome to Math 11 - Calculus 1, Fall 01/01! This problems in this packet are designed to help you review the topics from Algebra

More information

AP Calculus AB Chapter 1 Limits

AP Calculus AB Chapter 1 Limits AP Calculus AB Chapter Limits SY: 206 207 Mr. Kunihiro . Limits Numerical & Graphical Show all of your work on ANOTHER SHEET of FOLDER PAPER. In Exercises and 2, a stone is tossed vertically into the air

More information

AP Calculus BC Summer Assignment

AP Calculus BC Summer Assignment AP Calculus BC Summer Assignment Edmodo.com: AP Calculus BC 207-208 Group Code: kdw69v Attached is an assignment for students entering AP Calculus BC in the fall. Next year we will focus more on concepts

More information

Requirements for AP Calculus

Requirements for AP Calculus AP CALCULUS KLEINKE STYLE 018-019 YOU ARE ABOUT TO EMBARK ON A GREAT JOURNEY THROUGH THE STUDY OF LIMITS, DERIVATIVES, AND INTEGRALS!! WE WILL HIT A FEW SMALL ICEBERGS BUT NOTHING THAT WILL CAUSE USE TO

More information

AP CALCULUS AB. Welcome to AP Calculus,

AP CALCULUS AB. Welcome to AP Calculus, AP CALCULUS AB Summer Assignment 2014 Welcome to AP Calculus, The purpose of this assignment is to have you practice the skills necessary to be successful in AP Calculus. All of the skills in this packet

More information

1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.

1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents. Math120 - Precalculus. Final Review. Fall, 2011 Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.

More information

AP Calculus AB Summer Packet 2018

AP Calculus AB Summer Packet 2018 AP Calculus AB Summer Packet 2018 Dear Calculus Student: To be successful in AP Calculus AB, you must be proficient at solving and simplifying each type of problem in this packet. This is a review of Algebra

More information

Summer Assignment Directions:

Summer Assignment Directions: Name: Block: Date: AP Calculus AB Summer Assignment Mr. Carter Welcome to AP Calculus AB! This fall will begin an exciting, challenging journey through the world of mathematics. You will challenge yourself

More information

Name Date. Show all work! Exact answers only unless the problem asks for an approximation.

Name Date. Show all work! Exact answers only unless the problem asks for an approximation. Advanced Calculus & AP Calculus AB Summer Assignment Name Date Show all work! Eact answers only unless the problem asks for an approimation. These are important topics from previous courses that you must

More information

DuVal High School Summer Review Packet AP Calculus

DuVal High School Summer Review Packet AP Calculus DuVal High School Summer Review Packet AP Calculus Welcome to AP Calculus AB. This packet contains background skills you need to know for your AP Calculus. My suggestion is, you read the information and

More information

Calculus I Exam 1 Review Fall 2016

Calculus I Exam 1 Review Fall 2016 Problem 1: Decide whether the following statements are true or false: (a) If f, g are differentiable, then d d x (f g) = f g. (b) If a function is continuous, then it is differentiable. (c) If a function

More information

Exam Review 2 nd Semester 6-1 Operations on Functions

Exam Review 2 nd Semester 6-1 Operations on Functions NAME DATE PERIOD Exam Review 2 nd Semester 6-1 Operations on Functions Find (f + g)(x), (f g)(x), (f g)(x), and (x) for each f(x) and g(x). 1. f(x) = 8x 3; g(x) = 4x + 5 2. f(x) = + x 6; g(x) = x 2 If

More information

AP Calculus BC Summer Assignment

AP Calculus BC Summer Assignment AP Calculus BC Summer Assignment Attached is an assignment for students entering AP Calculus BC in the fall. Next year we will focus more on concepts and thinking outside of the box. We will not have time

More information

AP Calculus AB SUMMER ASSIGNMENT. Dear future Calculus AB student

AP Calculus AB SUMMER ASSIGNMENT. Dear future Calculus AB student AP Calculus AB SUMMER ASSIGNMENT Dear future Calculus AB student We are ecited to work with you net year in Calculus AB. In order to help you be prepared for this class, please complete the summer assignment.

More information

AP Calculus Summer Packet

AP Calculus Summer Packet AP Calculus Summer Packet Writing The Equation Of A Line Example: Find the equation of a line that passes through ( 1, 2) and (5, 7). ü Things to remember: Slope formula, point-slope form, slopeintercept

More information

Summer 2017 Review For Students Entering AP Calculus AB/BC

Summer 2017 Review For Students Entering AP Calculus AB/BC Summer 2017 Review For Students Entering AP Calculus AB/BC Holy Name High School AP Calculus Summer Homework 1 A.M.D.G. AP Calculus AB Summer Review Packet Holy Name High School Welcome to AP Calculus

More information

A.P. Calculus Summer Assignment

A.P. Calculus Summer Assignment A.P. Calculus Summer Assignment This assignment is due the first day of class at the beginning of the class. It will be graded and counts as your first test grade. This packet contains eight sections and

More information

AP Calculus AB Summer Math Packet

AP Calculus AB Summer Math Packet Name Date Section AP Calculus AB Summer Math Packet This assignment is to be done at you leisure during the summer. It is meant to help you practice mathematical skills necessary to be successful in Calculus

More information

. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both.

. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. PRECALCULUS MIDTERM PRACTICE TEST (2008-2009) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the distance d(, ) between the points and.

More information

AP Calculus AB Mrs. Mills Carlmont High School

AP Calculus AB Mrs. Mills Carlmont High School AP Calculus AB 015-016 Mrs. Mills Carlmont High School AP CALCULUS AB SUMMER ASSIGNMENT NAME: READ THE FOLLOWING DIRECTIONS CAREFULLY! Read through the notes & eamples for each page and then solve all

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) ±

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) ± Final Review for Pre Calculus 009 Semester Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation algebraically. ) v + 5 = 7 - v

More information

2. Determine the domain of the function. Verify your result with a graph. f(x) = 25 x 2

2. Determine the domain of the function. Verify your result with a graph. f(x) = 25 x 2 29 April PreCalculus Final Review 1. Find the slope and y-intercept (if possible) of the equation of the line. Sketch the line: y = 3x + 13 2. Determine the domain of the function. Verify your result with

More information

PART A: Solve the following equations/inequalities. Give all solutions. x 3 > x + 3 x

PART A: Solve the following equations/inequalities. Give all solutions. x 3 > x + 3 x CFHS Honors Precalculus Calculus BC Review PART A: Solve the following equations/inequalities. Give all solutions. 1. 2x 3 + 3x 2 8x = 3 2. 3 x 1 + 4 = 8 3. 1 x + 1 2 x 4 = 5 x 2 3x 4 1 4. log 2 2 + log

More information

( ) - 4(x -3) ( ) 3 (2x -3) - (2x +12) ( x -1) 2 x -1) 2 (3x -1) - 2(x -1) Section 1: Algebra Review. Welcome to AP Calculus!

( ) - 4(x -3) ( ) 3 (2x -3) - (2x +12) ( x -1) 2 x -1) 2 (3x -1) - 2(x -1) Section 1: Algebra Review. Welcome to AP Calculus! Welcome to AP Calculus! Successful Calculus students must have a strong foundation in algebra and trigonometry. The following packet was designed to help you review your algebra skills in preparation for

More information

This is your first impression to me as a mathematician. Make it good.

This is your first impression to me as a mathematician. Make it good. Calculus Summer 2016 DVHS (AP or RIO) Name : Welcome! Congratulations on reaching this advanced level of mathematics. Calculus is unlike the mathematics you have already studied, and yet it is built on

More information

Precalculus with Trigonometry Honors Summer Packet

Precalculus with Trigonometry Honors Summer Packet Precalculus with Trigonometry Honors Summer Packet Welcome to Precalculus with Trigonometry Honors! We look forward to guiding you through an informative and eciting year en route to Calculus! In order

More information

AP CALCULUS Summer Assignment 2014

AP CALCULUS Summer Assignment 2014 Name AP CALCULUS Summer Assignment 014 Welcome to AP Calculus. In order to complete the curriculum before the AP Exam in May, it is necessary to do some preparatory work this summer. The following assignment

More information

Calculus I Sample Exam #01

Calculus I Sample Exam #01 Calculus I Sample Exam #01 1. Sketch the graph of the function and define the domain and range. 1 a) f( x) 3 b) g( x) x 1 x c) hx ( ) x x 1 5x6 d) jx ( ) x x x 3 6 . Evaluate the following. a) 5 sin 6

More information

Lawrence Woodmere Academy. AP Calculus AB

Lawrence Woodmere Academy. AP Calculus AB Lawrence Woodmere Academy AP Calculus AB Dear AP Calculus AB Student, Welcome to the fun and exciting world of AP Calculus AB. In the upcoming school year, we will be using the concepts that you previously

More information

Hello Future Calculus Level One Student,

Hello Future Calculus Level One Student, Hello Future Calculus Level One Student, This assignment must be completed and handed in on the first day of class. This assignment will serve as the main review for a test on this material. The test will

More information

3. Use absolute value notation to write an inequality that represents the statement: x is within 3 units of 2 on the real line.

3. Use absolute value notation to write an inequality that represents the statement: x is within 3 units of 2 on the real line. PreCalculus Review Review Questions 1 The following transformations are applied in the given order) to the graph of y = x I Vertical Stretch by a factor of II Horizontal shift to the right by units III

More information

AP Calculus AB Summer Assignment. Due Date: First day of school.

AP Calculus AB Summer Assignment. Due Date: First day of school. AP Calculus AB Summer Assignment Name: Due Date: First day of school. The purpose of this assignment is to have you practice the mathematical skills necessary to be successful in Calculus AB. All of the

More information

(c) log 1 4 (d) log 3 3. Use logarithm properties for expanding to rewrite the expression in

(c) log 1 4 (d) log 3 3. Use logarithm properties for expanding to rewrite the expression in AP Calculus AB Summer Assignment for 2017-2018 School Year Mrs. Brennan In order to be prepared for next year and be ready to move on to new work, you must have skills required to do these problems with

More information

Precalculus Summer Assignment 2015

Precalculus Summer Assignment 2015 Precalculus Summer Assignment 2015 The following packet contains topics and definitions that you will be required to know in order to succeed in CP Pre-calculus this year. You are advised to be familiar

More information

Directions: Please read questions carefully. It is recommended that you do the Short Answer Section prior to doing the Multiple Choice.

Directions: Please read questions carefully. It is recommended that you do the Short Answer Section prior to doing the Multiple Choice. AP Calculus AB SUMMER ASSIGNMENT Multiple Choice Section Directions: Please read questions carefully It is recommended that you do the Short Answer Section prior to doing the Multiple Choice Show all work

More information

Numbers Content Points. Reference sheet (1 pt. each) 1-7 Linear Equations (1 pt. each) / Factoring (2 pt. each) /28

Numbers Content Points. Reference sheet (1 pt. each) 1-7 Linear Equations (1 pt. each) / Factoring (2 pt. each) /28 Summer Packet 2015 Your summer packet will be a major test grade for the first nine weeks. It is due the first day of school. You must show all necessary solutions. You will be tested on ALL material;

More information

You will have a test on the summer assignment material on the second day of school. (no calculator or reference material allowed)

You will have a test on the summer assignment material on the second day of school. (no calculator or reference material allowed) Summer Assignment AP CALCULUS AB June 017 Dear Student: Your AP calculus exam will be on Wednesday May 15, 018. That may seem like a long time, but it leaves us with less than 150 days of class next year.

More information

Summer Review Packet AP Calculus

Summer Review Packet AP Calculus Summer Review Packet AP Calculus ************************************************************************ Directions for this packet: On a separate sheet of paper, show your work for each problem in this

More information

1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.

1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents. Math120 - Precalculus. Final Review Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents. (a) 5

More information

Summer Work Packet for MPH Math Classes

Summer Work Packet for MPH Math Classes Summer Work Packet for MPH Math Classes Students going into AP Calculus AB Sept. 018 Name: This packet is designed to help students stay current with their math skills. Each math class expects a certain

More information

AP Calculus Summer Prep

AP Calculus Summer Prep AP Calculus Summer Prep Topics from Algebra and Pre-Calculus (Solutions are on the Answer Key on the Last Pages) The purpose of this packet is to give you a review of basic skills. You are asked to have

More information

Summer Packet Greetings Future AP Calculus Scholar,

Summer Packet Greetings Future AP Calculus Scholar, Summer Packet 2017 Greetings Future AP Calculus Scholar, I am excited about the work that we will do together during the 2016-17 school year. I do not yet know what your math capability is, but I can assure

More information

AP Calculus Summer Assignment Summer 2017 Expectations for Summer Assignment on the first day of the school year.

AP Calculus Summer Assignment Summer 2017 Expectations for Summer Assignment on the first day of the school year. Summer 07 Expectations for Summer Assignment This packet is to be submitted to your Calculus BC teacher on the first day of the school year. All work must be shown in the packet OR on separate paper attached

More information

Avon High School Name AP Calculus AB Summer Review Packet Score Period

Avon High School Name AP Calculus AB Summer Review Packet Score Period Avon High School Name AP Calculus AB Summer Review Packet Score Period f 4, find:.) If a.) f 4 f 4 b.) Topic A: Functions f c.) f h f h 4 V r r a.) V 4.) If, find: b.) V r V r c.) V r V r.) If f and g

More information

Wheeler High School. The packets are due to your instructor on your first day of class.

Wheeler High School. The packets are due to your instructor on your first day of class. Wheeler High School To: Honors Calculus and AP Calculus AB Students From: Mrs. Barry, Mrs. Massey, Mrs. Walls, and Mr. Furstein - Calculus Instructors Re: Summer work Honors Calculus and AP Calculus AB

More information

Pre-Calculus Summer Math Packet 2018 Multiple Choice

Pre-Calculus Summer Math Packet 2018 Multiple Choice Pre-Calculus Summer Math Packet 208 Multiple Choice Page A Complete all work on separate loose-leaf or graph paper. Solve problems without using a calculator. Write the answers to multiple choice questions

More information

Calculus. Summer Assignment

Calculus. Summer Assignment Summer Review Packet for All Students Enrolling in Calculus #160 Next Year. Name: To earn credit, show all necessary work to support your answer in the space provided. Calculus Summer Assignment Name This

More information

AP Calculus AB Summer Review Packet

AP Calculus AB Summer Review Packet TO: All 2017/2018 AP Calculus AB Students AP Calculus AB Summer Review Packet FROM: AP Calculus AB Teacher Mr. Gierut (East) Room 301, Mr. Gonzalez (West) C214, Ms. Kane (East) Room 351, Mrs. O Neill (West)

More information

AP CALCULUS BC Syllabus / Summer Assignment 2015

AP CALCULUS BC Syllabus / Summer Assignment 2015 AP CALCULUS BC Syllabus / Summer Assignment 015 Name Congratulations! You made it to BC Calculus! In order to complete the curriculum before the AP Exam in May, it is necessary to do some preparatory work

More information

ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA

ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA GRADE 12 EXAMINATION NOVEMBER 2016 ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA Time: 2 hours 200 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper

More information

Find the domain and range of each function. Use interval notation (parenthesis or square brackets).

Find the domain and range of each function. Use interval notation (parenthesis or square brackets). Page of 10 I. Functions & Composition of Functions A function is a set of points (x, y) such that for every x, there is one and only one y. In short, in a function, the x-values cannot repeat while the

More information

Welcome to AP Calculus!!!

Welcome to AP Calculus!!! Welcome to AP Calculus!!! In preparation for next year, you need to complete this summer packet. This packet reviews & expands upon the concepts you studied in Algebra II and Pre-calculus. Make sure you

More information

AP Calculus Summer Homework MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

AP Calculus Summer Homework MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. AP Calculus Summer Homework 2015-2016 Part 2 Name Score MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the distance d(p1, P2) between the points

More information

West Essex Regional School District. AP Calculus AB. Summer Packet

West Essex Regional School District. AP Calculus AB. Summer Packet West Esse Regional School District AP Calculus AB Summer Packet 05-06 Calculus AB Calculus AB covers the equivalent of a one semester college calculus course. Our focus will be on differential and integral

More information

Calculus w/applications Prerequisite Packet Paint Branch High School Math Department

Calculus w/applications Prerequisite Packet Paint Branch High School Math Department Updated 6/014 The problems in this packet are designed to help you review topics from previous math courses that are important to your success in Calculus with Applications. It is important that you take

More information

Summer Assignment for AP Calculus AB

Summer Assignment for AP Calculus AB This assignment is a review of Pre-calculus and Algebraic concepts that you need to be familiar with in order to make a smooth transition into AP Calculus AB. It will be due when you return to school on

More information

C3 Revision Questions. (using questions from January 2006, January 2007, January 2008 and January 2009)

C3 Revision Questions. (using questions from January 2006, January 2007, January 2008 and January 2009) C3 Revision Questions (using questions from January 2006, January 2007, January 2008 and January 2009) 1 2 1. f(x) = 1 3 x 2 + 3, x 2. 2 ( x 2) (a) 2 x x 1 Show that f(x) =, x 2. 2 ( x 2) (4) (b) Show

More information

Formulas that must be memorized:

Formulas that must be memorized: Formulas that must be memorized: Position, Velocity, Acceleration Speed is increasing when v(t) and a(t) have the same signs. Speed is decreasing when v(t) and a(t) have different signs. Section I: Limits

More information

AP CALCULUS BC SUMMER ASSIGNMENT

AP CALCULUS BC SUMMER ASSIGNMENT AP CALCULUS BC SUMMER ASSIGNMENT Dear BC Calculus Student, Congratulations on your wisdom in taking the BC course! We know you will find it rewarding and a great way to spend your junior/senior year. This

More information

1. OBJECTIVE: Linear Equations

1. OBJECTIVE: Linear Equations CUNY YORK COLLEGE FINAL EXAM REVIEW MATH 120: Precalculus Use the following questions to review for your final examimation for Math 120. Your ability to answer these questions will reflect what you learned

More information

AP Calculus AB Summer Math Packet

AP Calculus AB Summer Math Packet AP Calculus AB Summer Math Packet This is the summer review and preparation packet for students entering AP Calculus AB Dear Bear Creek Calculus Student, The first page is the answer sheet for the attached

More information

CALCULUS AB/BC SUMMER REVIEW PACKET (Answers)

CALCULUS AB/BC SUMMER REVIEW PACKET (Answers) Name CALCULUS AB/BC SUMMER REVIEW PACKET (Answers) I. Simplify. Identify the zeros, vertical asymptotes, horizontal asymptotes, holes and sketch each rational function. Show the work that leads to your

More information

2. Find the value of y for which the line through A and B has the given slope m: A(-2, 3), B(4, y), 2 3

2. Find the value of y for which the line through A and B has the given slope m: A(-2, 3), B(4, y), 2 3 . Find an equation for the line that contains the points (, -) and (6, 9).. Find the value of y for which the line through A and B has the given slope m: A(-, ), B(4, y), m.. Find an equation for the line

More information

Summer AP Assignment Coversheet Falls Church High School

Summer AP Assignment Coversheet Falls Church High School Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:

More information

AP Calculus AB Summer Packet

AP Calculus AB Summer Packet The accompanying problems are from the subjects covered in Algebra I, Algebra II, Pre-calculus, and Analytic Geometry. In Calculus you are expected to know all topics from these subjects. Included in this

More information

College Algebra and College Algebra with Review Final Review

College Algebra and College Algebra with Review Final Review The final exam comprises 30 questions. Each of the 20 multiple choice questions is worth 3 points and each of the 10 open-ended questions is worth 4 points. Instructions for the Actual Final Exam: Work

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) x 8. C) y = x + 3 2

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) x 8. C) y = x + 3 2 Precalculus Fall Final Exam Review Name Date Period MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the expression. Assume that the variables

More information

AP Calculus AB Summer Assignment

AP Calculus AB Summer Assignment AP Calculus AB 017-018 Summer Assignment Congratulations! You have been accepted into Advanced Placement Calculus AB for the next school year. This course will count as a math credit at Freedom High School

More information

ARE YOU READY FOR CALCULUS?

ARE YOU READY FOR CALCULUS? ARE YOU READY FOR CALCULUS? Congratulations! You made it to Calculus AB! Instructions 1. Please complete the packet (see below), which will be due the day of registration. This packet will help you review

More information

Regina High School AP Calculus Miss Moon

Regina High School AP Calculus Miss Moon Regina High School AP Calculus 018-19 Miss Moon Going into AP Calculus, there are certain skills that have been taught to you over the previous years that we assume you have. If you do not have these skills,

More information

Spring 06/MAT 140/Worksheet 1 Name: Show all your work.

Spring 06/MAT 140/Worksheet 1 Name: Show all your work. Spring 06/MAT 140/Worksheet 1 Name: Show all your work. 1. (4pts) Write two examples of each kind of number: natural integer rational irrational 2. (12pts) Simplify: ( a) 3 4 2 + 4 2 ) = 3 b) 3 20 7 15

More information

Summer Mathematics Prep

Summer Mathematics Prep Summer Mathematics Prep Entering Calculus Chesterfield County Public Schools Department of Mathematics SOLUTIONS Domain and Range Domain: All Real Numbers Range: {y: y } Domain: { : } Range:{ y : y 0}

More information

Albertson AP Calculus AB AP CALCULUS AB SUMMER PACKET DUE DATE: The beginning of class on the last class day of the first week of school.

Albertson AP Calculus AB AP CALCULUS AB SUMMER PACKET DUE DATE: The beginning of class on the last class day of the first week of school. Albertson AP Calculus AB Name AP CALCULUS AB SUMMER PACKET 2015 DUE DATE: The beginning of class on the last class day of the first week of school. This assignment is to be done at you leisure during the

More information

AP CALCULUS AB,...) of Topical Understandings ~

AP CALCULUS AB,...) of Topical Understandings ~ Name: Precalculus Teacher: AP CALCULUS AB ~ (Σer) ( Force Distance) and ( L, L,...) of Topical Understandings ~ As instructors of AP Calculus, we have etremely high epectations of students taking our courses.

More information

AP CALCULUS AB - SUMMER ASSIGNMENT 2018

AP CALCULUS AB - SUMMER ASSIGNMENT 2018 Name AP CALCULUS AB - SUMMER ASSIGNMENT 08 This packet is designed to help you review and build upon some of the important mathematical concepts and skills that you have learned in your previous mathematics

More information

AP CALCULUS AB. Summer Assignment. Page 1

AP CALCULUS AB. Summer Assignment. Page 1 AP CALCULUS AB Summer Assignment Page 1 Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers but the benefit you will receive by having this experience in high school

More information

Summer Review Packet. for students entering. AP Calculus BC

Summer Review Packet. for students entering. AP Calculus BC Summer Review Packet for students entering AP Calculus BC The problems in this packet are designed to help you review topics that are important to your success in AP Calculus. Please attempt the problems

More information

Mth Review Problems for Test 2 Stewart 8e Chapter 3. For Test #2 study these problems, the examples in your notes, and the homework.

Mth Review Problems for Test 2 Stewart 8e Chapter 3. For Test #2 study these problems, the examples in your notes, and the homework. For Test # study these problems, the examples in your notes, and the homework. Derivative Rules D [u n ] = nu n 1 du D [ln u] = du u D [log b u] = du u ln b D [e u ] = e u du D [a u ] = a u ln a du D [sin

More information

1 + x 2 d dx (sec 1 x) =

1 + x 2 d dx (sec 1 x) = Page This exam has: 8 multiple choice questions worth 4 points each. hand graded questions worth 4 points each. Important: No graphing calculators! Any non-graphing, non-differentiating, non-integrating

More information

Problems with an # after the number are the only ones that a calculator is required for in the solving process.

Problems with an # after the number are the only ones that a calculator is required for in the solving process. Instructions: Make sure all problems are numbered in order. All work is in pencil, and is shown completely. Graphs are drawn out by hand. If you use your calculator for some steps, intermediate work should

More information

AP Calculus AB Summer Assignment 2016

AP Calculus AB Summer Assignment 2016 AP Calculus AB Name Dates: Start Finish AP Calculus AB Summer Assignment 016 Welcome to AP Calculus AB. This packet is a review of Advanced Algebra & Pre-Calculus topics that you will use continuously

More information

Test 2 Review Math 1111 College Algebra

Test 2 Review Math 1111 College Algebra Test 2 Review Math 1111 College Algebra 1. Begin by graphing the standard quadratic function f(x) = x 2. Then use transformations of this graph to graph the given function. g(x) = x 2 + 2 *a. b. c. d.

More information

Calculus Summer Packet

Calculus Summer Packet Calculus Summer Packet Congratulations on reaching this level of mathematics in high school. I know some or all of you are bummed out about having to do a summer math packet; but keep this in mind: we

More information

AP Calculus Summer Assignment

AP Calculus Summer Assignment Name AP Calculus Summer Assignment 015-016 To: All students enrolled in AP Calculus at El Campo High School Calculus AP utilizes skills and concepts you learned in previous math courses such as solving

More information

SANDY CREEK HIGH SCHOOL

SANDY CREEK HIGH SCHOOL SANDY CREEK HIGH SCHOOL SUMMER REVIEW PACKET For students entering A.P. CALCULUS AB I epect everyone to check the Google classroom site and your school emails at least once every two weeks. You should

More information

Summer AP Assignment Coversheet Falls Church High School

Summer AP Assignment Coversheet Falls Church High School Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:

More information

Homework 3. (33-40) The graph of an exponential function is given. Match each graph to one of the following functions.

Homework 3. (33-40) The graph of an exponential function is given. Match each graph to one of the following functions. Homework Section 4. (-40) The graph of an exponential function is given. Match each graph to one of the following functions. (a)y = x (b)y = x (c)y = x (d)y = x (e)y = x (f)y = x (g)y = x (h)y = x (46,

More information

AP Calculus Chapter 2 Practice Test

AP Calculus Chapter 2 Practice Test AP Calculus Chapter 2 Practice Test Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Assume that a watermelon dropped from

More information

AP CALCULUS AB SUMMER ASSIGNMENT

AP CALCULUS AB SUMMER ASSIGNMENT AP CALCULUS AB SUMMER ASSIGNMENT 06-07 Attached is your summer assignment for AP Calculus (AB). It will probably take you - hours to complete depending on how well you know your material. I would not do

More information

Student s Printed Name:

Student s Printed Name: Student s Printed Name: Instructor: CUID: Section # : You are not permitted to use a calculator on any part of this test. You are not allowed to use any textbook, notes, cell phone, laptop, PDA, or any

More information

Troy High School AP Calculus Summer Packet

Troy High School AP Calculus Summer Packet Troy High School AP Calculus Summer Packet As instructors of AP Calculus, we have etremely high epectations of students taking our courses. We epect a certain level of independence to be demonstrated by

More information

Calculus 1 (AP, Honors, Academic) Summer Assignment 2018

Calculus 1 (AP, Honors, Academic) Summer Assignment 2018 Calculus (AP, Honors, Academic) Summer Assignment 08 The summer assignments for Calculus will reinforce some necessary Algebra and Precalculus skills. In order to be successful in Calculus, you must have

More information

Use a graphing utility to approximate the real solutions, if any, of the equation rounded to two decimal places. 4) x3-6x + 3 = 0 (-5,5) 4)

Use a graphing utility to approximate the real solutions, if any, of the equation rounded to two decimal places. 4) x3-6x + 3 = 0 (-5,5) 4) Advanced College Prep Pre-Calculus Midyear Exam Review Name Date Per List the intercepts for the graph of the equation. 1) x2 + y - 81 = 0 1) Graph the equation by plotting points. 2) y = -x2 + 9 2) List

More information

Wheeler High School AP Calculus AB first day of school, August 7, Honors Calculus

Wheeler High School AP Calculus AB first day of school, August 7, Honors Calculus Wheeler High School To: From: Re: Honors Calculus and AP Calculus AB Students Mrs. Barry, Mrs. Massey, Mrs. Walls, and Mr. Furstein - Calculus Instructors Summer work AP Calculus AB and Honors Calculus

More information