9. ( 2, 1) and (3, 2) 10. ( 1, 4) and (2, 3) 11. ( 2, 3) and (4, 3) 12. ( 4, 4) and (2, 4) points ( 5, 5) and (6, 8). points ( 4, 6) and (2, 4).

17. f(x) = x 2 + 5x f(x) = x 2 + x f(x) = x 2 + 3x f(x) = x 2 + 3x f(x) = x 2 16x f(x) = x 2 + 4x 96

Section.3 Zeros of the Quadratic 473.3 Eercises In Eercises 1-8, factor the given quadratic polnomial. 1. 2 + 9 + 14 2. 2 + 6 + 3. 2 + + 9 4. 2 + 4 21. 2 4 6. 2 + 7 8 7. 2 7 + 12 8. 2 + 24 In Eercises

Formative Assessment: Uniform Acceleration

Formative Assessment: Uniform Acceleration Name 1) A truck on a straight road starts from rest and accelerates at 3.0 m/s 2 until it reaches a speed of 24 m/s. Then the truck travels for 20 s at constant

Algebra 1 Unit 9 Quadratic Equations

Algebra 1 Unit 9 Quadratic Equations Part 1 Name: Period: Date Name of Lesson Notes Tuesda 4/4 Wednesda 4/5 Thursda 4/6 Frida 4/7 Monda 4/10 Tuesda 4/11 Wednesda 4/12 Thursda 4/13 Frida 4/14 Da 1- Quadratic

Skills Practice Skills Practice for Lesson 1.1

Skills Practice Skills Practice for Lesson. Name Date Lots and Projectiles Introduction to Quadratic Functions Vocabular Give an eample of each term.. quadratic function 9 0. vertical motion equation s

MTH 252 Lab Supplement

Fall 7 Pilot MTH 5 Lab Supplement Supplemental Material by Austina Fong Contents Antiderivatives... Trigonometric Substitution... Approimate Integrals Technology Lab (Optional)... 4 Error Bound Formulas...

= x. Algebra II Notes Quadratic Functions Unit Graphing Quadratic Functions. Math Background

Algebra II Notes Quadratic Functions Unit 3.1 3. Graphing Quadratic Functions Math Background Previousl, ou Identified and graphed linear functions Applied transformations to parent functions Graphed quadratic

f(x) Determine whether each function has a maximum or minimum value, and find that value. Then state the domain and range of the function.

NAME DATE PERID 4-1 Practice Graphing Quadratic Functions Complete parts a c for each quadratic function. a. Find the -intercept, the equation of the ais of smmetr, and the -coordinate of the verte. b.

5. 2. The solution set is 7 6 i, 7 x. Since b = 20, add

Chapter : Quadratic Equations and Functions Chapter Review Eercises... 5 8 6 8 The solution set is 8, 8. 5 5 5 5 5 5 The solution set is 5,5. Rationalize the denominator. 6 The solution set is. 8 8 9 6

Name Class Date. Solving by Graphing and Algebraically

Name Class Date 16-4 Nonlinear Sstems Going Deeper Essential question: How can ou solve a sstem of equations when one equation is linear and the other is quadratic? To estimate the solution to a sstem

For use after the chapter Graphing Linear Equations and Functions 3 D. 7. 4y 2 3x 5 4; (0, 1) x-intercept: 6 y-intercept: 3.

Chapter Test A Write the coordinates of the point.. A. B. D. C. A. D C B.... Tell whether the ordered pair is a solution of the equation.. ; (, ) 7.. ; (, ). 7. ; (, ). Draw the line that has the given

Lesson 7.1 Polynomial Degree and Finite Differences

Lesson 7.1 Polnomial Degree and Finite Differences 1. Identif the degree of each polnomial. a. 1 b. 0. 1. 3. 3 c. 0 16 0. Determine which of the epressions are polnomials. For each polnomial, state its

Chapter 2: Kinematics

Section 1 Chapter 2: Kinematics To simplify the concept of motion, we will first consider motion that takes place in one direction. To measure motion, you must choose a frame of reference. Frame of reference

AP Physics 1 Summer Assignment (2014)

Name: Date: AP Physics 1 Summer Assignment (2014) Instructions: 1. Read and study Chapter 2 Describing Motion: Kinematics in One Dimension. 2. Answer the questions below. 3. Submit your answers online

Question 1: An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example. Yes. An object that has moved through a distance can have zero displacement.

Unit 10 - Graphing Quadratic Functions

Unit - Graphing Quadratic Functions PREREQUISITE SKILLS: students should be able to add, subtract and multipl polnomials students should be able to factor polnomials students should be able to identif

Lesson 5.1 Exercises, pages

Lesson 5.1 Eercises, pages 346 352 A 4. Use the given graphs to write the solutions of the corresponding quadratic inequalities. a) 2 2-8 - 10 < 0 The solution is the values of for which y

Motion in one dimension

Work Sheet - 1 1. Define rest and motion. 2. Define distance and displacement. Write their S.I unit. 3. Distinguish between distance and displacement. Write five points of differences. Work Sheet - 2 1.

PLC Papers Created For:

PLC Papers Created For: Year 11 Topic Practice Paper: Solving Quadratics (Graphically) Quadratic equations (graphical methods) 1 Grade 6 Objective: Find approximate solutions to quadratic equations using

Accl g Motion graph prac

Accl g Motion graph prac 1. An object starts from rest and falls freely. What is the velocity of the object at the end of 3.00 seconds? A) 9.81 m/s B) 19.6 m/s C) 29.4 m/s D) 88.2 m/s 2. An object is dropped

Lesson Master 9-1B. REPRESENTATIONS Objective G. Questions on SPUR Objectives. 1. Let f(x) = 1. a. What are the coordinates of the vertex?

Back to Lesson 9-9-B REPRESENTATIONS Objective G. Let f() =. a. What are the coordinates of the verte? b. Is the verte a minimum or a maimum? c. Complete the table of values below. 3 0 3 f() d. Graph the

FIRST MIDTERM - REVIEW PROBLEMS

Physics 10 Spring 009 George Williams FIRST MIDTERM - REVIEW PROBLEMS A data sheet is provided at the end. Problems labeled [Ch. 4] are relevant to the second midterm. 1. Convert 747 m to feet. Convert

Maintaining Mathematical Proficiency

Name Date Chapter 8 Maintaining Mathematical Proficienc Graph the linear equation. 1. = 5. = + 3 3. 1 = + 3. = + Evaluate the epression when =. 5. + 8. + 3 7. 3 8. 5 + 8 9. 8 10. 5 + 3 11. + + 1. 3 + +

(i) find the points where f(x) is discontinuous, and classify each point of discontinuity.

Math Final Eam - Practice Problems. A function f is graphed below. f() 5 4 8 7 5 4 4 5 7 8 4 5 (a) Find f(0), f( ), f(), and f(4) Find the domain and range of f (c) Find the intervals where f () is positive

Mathematics 2201 Common Mathematics Assessment June 12, 2013

Common Mathematics Assessment June 1, 013 Name: Mathematics Teacher: 8 Selected Response 8 marks 13 Constructed Response marks FINAL 70 Marks TIME: HOURS NOTE Diagrams are not necessaril drawn to scale.

Motion Unit Review 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a

Motion Unit Review 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a A motion sensor.b low- g accelerometer. C potential difference

MAT 1033C -- Martin-Gay Intermediate Algebra Chapter 8 (8.1, 8.2, 8.5, 8.6) Practice for the Exam

MAT 33C -- Martin-Ga Intermediate Algebra Chapter 8 (8.1 8. 8. 8.6) Practice for the Eam Name Date Da/Time: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

3.3 Acceleration An example of acceleration Definition of acceleration Acceleration Figure 3.16: Steeper hills

3.3 Acceleration Constant speed is easy to understand. However, almost nothing moves with constant speed for long. When the driver steps on the gas pedal, the speed of the car increases. When the driver

Lesson 12: Position of an Accelerating Object as a Function of Time

Lesson 12: Position of an Accelerating Object as a Function of Time 12.1 Hypothesize (Derive a Mathematical Model) Recall the initial position and clock reading data from the previous lab. When considering

6.1 Solving Quadratic Equations by Graphing Algebra 2

10.1 Solving Quadratic Equations b Graphing Algebra Goal 1: Write functions in quadratic form Goal : Graph quadratic functions Goal 3: Solve quadratic equations b graphing. Quadratic Function: Eample 1:

A11.1 Areas under curves

Applications 11.1 Areas under curves A11.1 Areas under curves Before ou start You should be able to: calculate the value of given the value of in algebraic equations of curves calculate the area of a trapezium.

Physics! Unit 2 Review Constant Acceleration Particle Model

Physics! Unit 2 Review Constant Acceleration Particle Model Name 1. Use the graph to answer the following questions. a. Describe the motion of the object. b. Determine the of the object from the graph.

BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH06 Review Sheet y 6 2x + 5 y.

BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH06 Review Sheet. Perform the indicated operations and simplif: n n 0 n + n ( 9 )( ) + + 6 + 9ab

Copyrighted by Gabriel Tang B.Ed., B.Sc. Page 1.

Chapter : Linear and Quadratic Functions Chapter : Linear and Quadratic Functions -: Points and Lines Sstem of Linear Equations: - two or more linear equations on the same coordinate grid. Solution of

Honors Algebra 2 ~ Spring 2014 Name 1 Unit 3: Quadratic Functions and Equations

Honors Algebra ~ Spring Name Unit : Quadratic Functions and Equations NC Objectives Covered:. Define and compute with comple numbers. Operate with algebraic epressions (polnomial, rational, comple fractions)

Higher. Differentiation 28

Higher Mathematics UNIT OUTCOME Differentiation Contents Differentiation 8 Introduction to Differentiation 8 Finding the Derivative 9 Differentiating with Respect to Other Variables 4 Rates of Change 4

Final Exam Review Part 2 #1 Page 1 / 21

Final Eam Review Part #1 Intermediate Algebra / MAT 135 Spring 017 Master ( Master Templates) Student Name/ID: v 1. Solve for, where is a real number. v v + 1 + =. Solve for, where is a real number. +

BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH06 Review Sheet y 6 2x + 5 y.

BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH06 Review Sheet. Perform the indicated operations and simplif: n n 0 n + n ( 9 ) ( ) + + 6 + 9ab

13. x 2 = x 2 = x 2 = x 2 = x 3 = x 3 = x 4 = x 4 = x 5 = x 5 =

Section 8. Eponents and Roots 76 8. Eercises In Eercises -, compute the eact value... 4. (/) 4. (/). 6 6. 4 7. (/) 8. (/) 9. 7 0. (/) 4. (/6). In Eercises -4, perform each of the following tasks for the

12/06/2010. Chapter 2 Describing Motion: Kinematics in One Dimension. 2-1 Reference Frames and Displacement. 2-1 Reference Frames and Displacement

Chapter 2 Describing Motion: Kinematics in One Dimension 2-1 Reference Frames and Displacement Any measurement of position, distance, or speed must be made with respect to a reference frame. For example,

Physics I (Navitas) EXAM #1 Fall 2015

95.141 Physics I (Navitas) EXAM #1 Fall 2015 Name, Last Name First Name Student Identification Number: Write your name at the top of each page in the space provided. Answer all questions, beginning each

Worksheet At t = 0 a car has a speed of 30 m/s. At t = 6 s, its speed is 14 m/s. What is its average acceleration during this time interval?

Worksheet 9 1. A poorly tuned Geo Metro (really old cheap, slow, car) can accelerate from rest to a speed of 28 m/s in 20 s. a) What is the average acceleration of the car? b) What distance does it travel

QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 2201 MIDTERM EXAM JANUARY 2015 PART A: MULTIPLE CHOICE ANSWER SHEET

QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 01 MIDTERM EXAM JANUARY 01 PART A: MULTIPLE CHOICE NAME: ANSWER SHEET 1. 11. 1.. 1... 1... 1... 1... 1.. 7. 17. 7. 8. 18. 8. 9. 19. 9. 10. 0. 0. QUADRATIC

1 st Semester Final Review Date No

CHAPTER 1 REVIEW 1. Simplify the epression and eliminate any negative eponents. Assume that all letters denote positive numbers. r s 6r s. Perform the division and simplify. 6 8 9 1 10. Simplify the epression.

3.1 Graph Quadratic Functions

3. Graph Quadratic Functions in Standard Form Georgia Performance Standard(s) MMA3b, MMA3c Goal p Use intervals of increase and decrease to understand average rates of change of quadratic functions. Your

CHAPTER 8. Motion (NCERT SOLVED) CBSE CLASS IX. Dr. SIMIL RAHMAN

CHAPTER 8 Motion (NCERT SOLVED) CBSE CLASS IX Dr. SIMIL RAHMAN Chapter8 www.similphysics.weebly.com MOTION (NCERT QUESTIONS SOLVED) 1. An object has moved through a distance. Can it have zero displacement?

LESSON #11 - FORMS OF A LINE COMMON CORE ALGEBRA II

LESSON # - FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Math 1 Final Eam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) - - 6 = - + 7 1) ) 6 + 7(- - ) = -8 - ) ) - t + t = 6 t + 1 ) Solve

A. VOCABULARY REVIEWS On the line, write the term that correctly completes each statement. Use each term once.

PART III. KINEMATICS A. VOCABULARY REVIEWS On the line, write the term that correctly completes each statement. Use each term once. 1. rise (Δy) The vertical separation of any two points on a curve is

Calculating Acceleration

Calculating Acceleration Textbook pages 392 405 Before You Read Section 9. 2 Summary How do you think a velocity-time graph might differ from the position-time graph you learned about in the previous chapter?

1. A sphere with a radius of 1.7 cm has a volume of: A) m 3 B) m 3 C) m 3 D) 0.11 m 3 E) 21 m 3

1. A sphere with a radius of 1.7 cm has a volume of: A) 2.1 10 5 m 3 B) 9.1 10 4 m 3 C) 3.6 10 3 m 3 D) 0.11 m 3 E) 21 m 3 2. A 25-N crate slides down a frictionless incline that is 25 above the horizontal.

One of the most common applications of Calculus involves determining maximum or minimum values.

8 LESSON 5- MAX/MIN APPLICATIONS (OPTIMIZATION) One of the most common applications of Calculus involves determining maimum or minimum values. Procedure:. Choose variables and/or draw a labeled figure..

PRACTICE FINAL EXAM. 3. Solve: 3x 8 < 7. Write your answer using interval notation. Graph your solution on the number line.

MAC 1105 PRACTICE FINAL EXAM College Algebra *Note: this eam is provided as practice onl. It was based on a book previousl used for this course. You should not onl stud these problems in preparing for

Section 3.4 Writing the Equation of a Line

Chapter Linear Equations and Functions Section.4 Writing the Equation of a Line Writing Equations of Lines Critical to a thorough understanding of linear equations and functions is the ability to write

acceleration versus time. LO Determine a particle s change in position by graphical integration on a graph of velocity versus time.

Chapter: Chapter 2 Learning Objectives LO 2.1.0 Solve problems related to position, displacement, and average velocity to solve problems. LO 2.1.1 Identify that if all parts of an object move in the same

Summary of motion graphs Object is moving to the right (in positive direction) v = 0 a = 0

Summary of motion graphs Object is moving to the right (in positive direction) Object at rest (not moving) Position is constant v (m/s) a (m/s 2 ) v = 0 a = 0 Constant velocity Position increases at constant

Mini-Lecture 8.1 Solving Quadratic Equations by Completing the Square

Mini-Lecture 8.1 Solving Quadratic Equations b Completing the Square Learning Objectives: 1. Use the square root propert to solve quadratic equations.. Solve quadratic equations b completing the square.

Skills Practice Skills Practice for Lesson 3.1

Skills Practice Skills Practice for Lesson. Name Date Lots and Projectiles Introduction to Quadratic Functions Vocabular Define each term in our own words.. quadratic function. vertical motion Problem

C H A P T E R 3 Polynomial Functions

C H A P T E R Polnomial Functions Section. Quadratic Functions and Models............. 9 Section. Polnomial Functions of Higher Degree......... Section. Polnomial and Snthetic Division............ 8 Section.

QUADRATIC FUNCTIONS. ( x 7)(5x 6) = 2. Exercises: 1 3x 5 Sum: 8. We ll expand it by using the distributive property; 9. Let s use the FOIL method;

QUADRATIC FUNCTIONS A. Eercises: 1.. 3. + = + = + + = +. ( 1)(3 5) (3 5) 1(3 5) 6 10 3 5 6 13 5 = = + = +. ( 7)(5 6) (5 6) 7(5 6) 5 6 35 4 5 41 4 3 5 6 10 1 3 5 Sum: 6 + 10+ 3 5 ( + 1)(3 5) = 6 + 13 5

Year 11 Physics Tutorial 84C2 Newton s Laws of Motion

Year 11 Physics Tutorial 84C2 Newton s Laws of Motion Module Topic 8.4 Moving About 8.4.C Forces Name Date Set 1 Calculating net force 1 A trolley was moved to the right by a force applied to a cord attached

Algebra II Practice Test Quadratic Functions Unit 3 Part II. Period Date NON-CALCULATOR SECTION

Name Period Date Vocabular: Define each word and give an eample.. Quadratic Function NON-CALCULATOR SECTION. Zero (of a function) 3. One-to-One Function Short Answer:. Describe how to find a quadratic

State the condition under which the distance covered and displacement of moving object will have the same magnitude.

Exercise CBSE-Class IX Science Motion General Instructions: (i) (ii) (iii) (iv) Question no. 1-15 are very short answer questions. These are required to be answered in one sentence each. Questions no.

LESSON #12 - FORMS OF A LINE COMMON CORE ALGEBRA II

LESSON # - FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS

ANIL TUTORIALS. Motion IMPORTANT NOTES ANIL TUTORIALS,SECTOR-5,DEVENDRA NAGAR,HOUSE NO-D/156,RAIPUR,C.G,PH

Motion 1. Rest : When a body does not change its position with respect to time and its surroundings, the body is said to be at rest. 2. Motion : When a body continuously changes its position with respect

(TPP #3) Test Preparation Practice. Algebra Holt Algebra 1. Name Date Class

Test Preparation Practice Algebra 1 Solve each problem. Choose the best answer for each question and record our answer on the Student Answer Sheet. Figures are not drawn to scale 1. Jack budgets $35 for

Physics 1120: 1D Kinematics Solutions

Questions: 1 2 3 4 5 6 7 Physics 1120: 1D Kinematics Solutions 1. Initially, a ball has a speed of 5.0 m/s as it rolls up an incline. Some time later, at a distance of 5.5 m up the incline, the ball has

BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH06 Review Sheet y 6 2x + 5 y.

BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH06 Review Sheet. Perform the indicated operations and simplif: n n 0 n +n ( 9 )( ) + + 6 + 9ab a+b

SECTION 3.1: Quadratic Functions

SECTION 3.: Quadratic Functions Objectives Graph and Analyze Quadratic Functions in Standard and Verte Form Identify the Verte, Ais of Symmetry, and Intercepts of a Quadratic Function Find the Maimum or

1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False Answer: B Var: 1

University Physics, 13e (Young/Freedman) Chapter 2 Motion Along a Straight Line 2.1 Conceptual Questions 1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False

Lesson 7.1 Polynomial Degree and Finite Differences

Lesson 7.1 Polynomial Degree and Finite Differences 1. Identify the degree of each polynomial. a. 1 b. 0.2 1. 2 3.2 3 c. 20 16 2 20 2. Determine which of the epressions are polynomials. For each polynomial,

Chapter 2 Section 2: Acceleration

Chapter 2 Section 2: Acceleration Motion Review Speed is the rate that an object s distance changes Distance is how far an object has travelled Speed = distance/time Velocity is rate that an object s displacement

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

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) If the acceleration of an object is negative, the object must be slowing down. A) True B) False

CHAPTER 3 ACCELERATED MOTION

Physics Approximate Timeline Students are expected to keep up with class work when absent. CHAPTER 3 ACCELERATED MOTION Day Plans for the day Assignments for the day 1 3.1 Acceleration o Changing Velocity

Q1: [4] Knowing that in the next expression a is acceleration, v is speed, x is position and t is time, from a dimensional v x t

The actual test contains 1 multiple choice questions and 2 problems. However, for etra eercise, this practice test includes12 questions and 3 problems. Questions: N.. Make sure that you justify your answers

Study Guide and Intervention. The Quadratic Formula and the Discriminant. Quadratic Formula. Replace a with 1, b with -5, and c with -14.

Study Guide and Intervention Quadratic Formula The Quadratic Formula can be used to solve any quadratic equation once it is written in the form a 2 + b + c = 0. Quadratic Formula The solutions of a 2 +

Solve Quadratic Equations by Graphing

0.3 Solve Quadratic Equations b Graphing Before You solved quadratic equations b factoring. Now You will solve quadratic equations b graphing. Wh? So ou can solve a problem about sports, as in Eample 6.

Algebra I Practice Questions ? 1. Which is equivalent to (A) (B) (C) (D) 2. Which is equivalent to 6 8? (A) 4 3

1. Which is equivalent to 64 100? 10 50 8 10 8 100. Which is equivalent to 6 8? 4 8 1 4. Which is equivalent to 7 6? 4 4 4. Which is equivalent to 4? 8 6 Page 1 of 0 11 Practice Questions 6 1 5. Which

CHAPTER 2 DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION

CHAPTER 2 DESCRIBING MOTION: KINEMATICS IN ONE DIMENSION OBJECTIVES After studying the material of this chapter, the student should be able to: state from memory the meaning of the key terms and phrases

Physics I Exam 1 Fall 2015 (version A)

95.141 Physics I Exam 1 Fall 2015 (version A) Recitation Section Number Last/First Name (PRINT) / Last 3 Digits of Student ID Number: Fill out the above section of this page and print your last name on

Algebra I Quadratics Practice Questions

1. Which is equivalent to 64 100? 10 50 8 10 8 100. Which is equivalent to 6 8? 4 8 1 4. Which is equivalent to 7 6? 4 4 4. Which is equivalent to 4? 8 6 From CCSD CSE S Page 1 of 6 1 5. Which is equivalent

Sample Final Exam Problems Solutions Math 107

Sample Final Eam Problems Solutions Math 107 1 (a) We first factor the numerator and the denominator of the function to obtain f() = (3 + 1)( 4) 4( 1) i To locate vertical asymptotes, we eamine all locations

Pre-Calculus Module 4

Pre-Calculus Module 4 4 th Nine Weeks Table of Contents Precalculus Module 4 Unit 9 Rational Functions Rational Functions with Removable Discontinuities (1 5) End Behavior of Rational Functions (6) Rational

Graphing Systems of Linear Equations

Graphing Systems of Linear Equations Groups of equations, called systems, serve as a model for a wide variety of applications in science and business. In these notes, we will be concerned only with groups

1 (a) A bus travels at a constant speed. It stops for a short time and then travels at a higher constant speed.

1 (a) A bus travels at a constant. It stops for a short time and then travels at a higher constant. Using the axes in Fig. 1.1, draw a distance-time graph for this bus journey. distance time Fig. 1.1 [3]

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

Math 2 Stud Guide-Chapters 8 and 9 Name Date: Time: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all square roots of the number. ) 600 9,

CHAPTER 8 Quadratic Equations, Functions, and Inequalities

CHAPTER Quadratic Equations, Functions, and Inequalities Section. Solving Quadratic Equations: Factoring and Special Forms..................... 7 Section. Completing the Square................... 9 Section.

Methods of Integration

U96-b)! Use the substitution u = - to evaluate U95-b)! 4 Methods of Integration d. Evaluate 9 d using the substitution u = + 9. UNIT MATHEMATICS (HSC) METHODS OF INTEGRATION CSSA «8» U94-b)! Use the substitution

Physics 2A (Fall 2012) Chapter 2: Motion in One Dimension

Physics 2A (Fall 2012) Chapter 2: Motion in One Dimension Whether you think you can or think you can t, you re usually right. Henry Ford It is our attitude at the beginning of a difficult task which, more

Math 141 Review for Midterm

Math 141 Review for Midterm There will be two parts to this test. Part 1 will have graph sketching, and no calculator is allowed. Part will have everthing else, and a calculator and/or graphing calculator

Chapter 10 Answers. Practice (0,0); maximum 2. (0,0); maximum 3. (0,0); minimum y = x 2, y = 3x 2, y = 5x 2 8. y 1

Chapter 0 Answers Practice 0-. (0,0); maimum. (0,0); maimum. (0,0); minimum. (0,0); minimum. (0,0); maimum. (0,0); minimum 7. =, =, =. =, =-, =-. =, =-, = 0. =, =, =-. =, =, =-7. =, =, =........ 7. 0 7...

Math 231 Final Exam Review

Math Final Eam Review Find the equation of the line tangent to the curve 4y y at the point (, ) Find the slope of the normal line to y ) ( e at the point (,) dy Find d if cos( y) y 4 y 4 Find the eact

Exam 1 Solutions. PHY 2048 Spring 2014 Acosta, Rinzler. Note that there are several variations of some problems, indicated by choices in parentheses.

Exam 1 Solutions Note that there are several variations of some problems, indicated by choices in parentheses. Problem 1 Let vector a! = 4î + 3 ĵ and vector b! = î + 2 ĵ (or b! = î + 4 ĵ ). What is the

Math Departmental Exit Assessment Review (Student Version)

Math 03 - Departmental Eit Assessment Review (Student Version) Factor completel. (Factoring Review) ) 6-6 - 0 ) 3-343 3) 3 - + 8-40 4) - 36 ) + - 6 + 9 + 8 - + + Add or subtract as indicated. Simplif completel.

Daily Lessons and Assessments for AP* Calculus AB, A Complete Course Page 119 Mark Sparks 2012

Unit # Understanding the Derivative Homework Packet f ( h) f ( Find lim for each of the functions below. Then, find the equation of the tangent line to h 0 h the graph of f( at the given value of. 1. f

IMPORTANT NOTES HERE IS AN EXAMPLE OF A SCANTRON FORM FOR YOUR EXAM.

IMPORTANT NOTES HERE IS AN EXAMPLE OF A SCANTRON FORM FOR YOUR EXAM. YOU NEED TO MAKE SURE YOU PROPERLY FILL OUT THE SCANTRON FORM.. Write and bubble in your first and last name.. VERY important, write

Final Exam Review Answers

Weight (Pounds) Final Exam Review Answers Questions 1-8 are based on the following information: A student sets out to lose some weight. He made a graph of his weight loss over a ten week period. 180 Weight

G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Midterm Practice Exam Answer Key

G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Midterm Practice Eam Answer Key G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s Midterm Practice Eam Answer Key Name:

UNIT 6 DESCRIBING DATA Lesson 2: Working with Two Variables. Instruction. Guided Practice Example 1

Guided Practice Eample 1 Andrew wants to estimate his gas mileage, or miles traveled per gallon of gas used. He records the number of gallons of gas he purchased and the total miles he traveled with that

Practice Test 1 1. A steel cylinder is 39 mm in height and 39 mm in diameter.

Practice Test 1 1. A steel cylinder is 39 mm in height and 39 mm in diameter. (a) How much does it weigh? (density of steel: ρ = 7560 kg/m3) 2. An automobile moving along a straight track changes its velocity

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