FGCU 6th Annual Math Competition 2008 Precalculus - Individual Exam
|
|
- Sheena Little
- 6 years ago
- Views:
Transcription
1 FGCU 6th Annual Math Competition 008 Precalculus - Individual Eam Find the domain of the rational function. ) f() = A) all real numbers B) { -, } C){ -,, -} D) { 0, -9} Solve the equation b epressing each side as a power of the same base and then equating eponents. ) e + 7 = e0 A) -7 B) C) - D) 7 Find the eact value of the epression, if possible. Do not use a calculator. ) sin- sin 6π 7 A) 7 6π B) π 7 C) 6π 7 D) 7 π ) sin(sin-π). A) π B) 0 C)π D) Not Definted Solve the equation on the interval [0, π). ) cos + sin - = 0 A) π 6, π 6 B) π, π, π, π C)0, π, π 6, π 6 D) π, π 6) cos = A) π C) π, π, π, π B) π D) π 6, π 6 Solve the equation on the interval [0, π). 7) tan cos + tan + cos + = 0 A) π, π, 7π B) 0, π, 7π C) π, 7π, π D) 0, π, π Use a right triangle to write the epression as an algebraic epression. Assume that is positive and in the domain of the given inverse trigonometric function. 8) sin(tan- ) A) + + B) + + C) + D) - -
2 Find an equation for the graph. 9) A) = cos π B) = cos π C) = cos π D) = cos π Find the standard form of the equation of the ellipse satisfing the given conditions. 0) Major ais horizontal with length 0; length of minor ais = ; center (0, 0) A) = B) 00 + = C) = D) = Convert the equation to the standard form for a parabola b completing the square on or as appropriate. ) = 0 A) ( - ) = -( - ) B) ( + ) = -( + ) C)( + ) = -( - ) D) ( - ) = ( - ) Find the location of the center, vertices, and foci for the hperbola described b the equation. ) ( + ) - ( + ) = 6 A) Center: (-, -); Vertices: (-6, -) and (-, -); Foci: (- - 7, -) and (- + 7, -) B) Center: (, ); Vertices: (, ) and (6, ); Foci: (- 7, ) and ( + 7, ) C)Center: (-, -); Vertices: (-, -) and (-, -); Foci: (- + 7, -) and (- + 7, -) D) Center: (-, -); Vertices: (-6, ) and (-, ); Foci: (- - 7, ) and (- + 7, )
3 Solve the problem. ) A satellite following the hperbolic path shown in the picture turns rapidl at (0, 6) and then moves closer and closer to the line = as it gets farther from the tracking station at the origin. Find the equation that describes the path of the satellite if the center of the hperbola is at (0, 0). (0, 6) = A) 6 - ( = B) ) 9-6 = C) 6 - = D) 9 ( ) - 6 = Rewrite the equation in a rotated ''-sstem without an '' term. Epress the equation involving ' and ' in the standard form of a conic section. ) = 0 A) ' 9 + ' = B) ' = - ' C)' = - ' D) ' + ' 9 = Eliminate the parameter t. Find a rectangular equation for the plane curve defined b the parametric equations. ) = 7 cos t, = 7 sin t; 0 t π A) - = 9; -7 7 B) + = 7; -7 7 C) + = 9; -7 7 D) - = 7; -7 7 Solve the problem. 6) A radio transmission tower is 0 feet tall. How long should a gu wire be if it is to be attached feet from the top and is to make an angle of 0 with the ground? A) 00.0 feet B) 76.0 feet C) 88.7 feet D) 7.8 feet An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) and then released. Write an equation for the distance of the object from its rest position after t seconds. 7) amplitude = 9 cm; period = seconds A) d = -9 cos π t B) d = -9 cos πt C)d = -9 sin πt D) d = - cos 9 πt Find the eact value of the epression. Do not use a calculator. 8) + sin 7 + sin A) - B) C) D) 0
4 Find the domain of the composite function f g. 9) f() = + 7, g() = 7 A) (-, 0) (0,-) (-, ) B) (-, ) C)(-, -7) (-7, 0) (0, ) D) (-, -7) (-7,-) (-, 0) (0, ) Epress the given function H as a composition of two functions f and g such that H() = (f g)(). 0) H() = - - A) f() = +, g() = - B) f() = -, g() = - C)f() = -, g() = - D) f() = -, g() = - Find the vertical asmptote(s), if an, of the graph of the rational function. + 7 ) f() = A) = 9 B) = -9, = 7 C) = 9, = -7 D) no vertical asmptote Find the polnomial P() with real coefficients having the specific degree, leading coefficient, and zeros. ) degree:, leading coefficient: -, zeros:, + 6i A) B) C) D) Determine whether the given function is one-to-one. If it is one-to-one, find its inverse. 7 ) f() = - 8 A) f-() = B) Not one-to-one C)f-() = D) f-() =
5 Match the function with its graph. ) ) = sin () ) = cos () ) = sin () ) = cos () A) B) -π -π π π - -π -π π π C) D) - -π -π π π - -π -π π π A) A, C, D, B B) A, D, C, B C)A, B, C, D D) B, D, C, A Solve the equation. ) π + arccos () = π 6 A) = B) = C) = - D) = Solve the problem. 6) A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 7 m down from the top of the dome the ceiling is 7 m wide, find the best location for the light source. A) 0. m down from the top B). m down from the top C).8 m down from the top D) 0.8 m down from the top Identif the conic section represented b the equation. 7) = 0 A) parabola B) ellipse C) hperbola D) circle
6 Graph the hperbola. 8) - = A) B) C) D) Solve the logarithmic equation. 9) log ( - ) + log ( - ) = A) B) -, C) -, D) Epand the epression. 0) ln ( + ) 9 + A) 6 ln - ln - ln B) ln ( + ) + ln ( + ) C) ln ( + ) - ln ( + ) D) ln ( + ) ln ( + ) Find the domain of f and write it in interval notation. ) f() = log () 7 A), B) (-, 0) (0, ) C)(0, ) D) (, ) 6
7 Solve the problem. ) Technolog matri A, representing interindustr demand, and matri D, representing consumer demand for the sectors in a two-sector econom, are given. Use the matri equation X = (I - A)-D to find the production level X that will satisf both demands. A = , D = 7 A) X = B) X = C) X = D) X = ) The graph of a logarithmic function of the form = loga( - c) is given. Use the graph to determine a and c A) a = ; c = B) a = ; c = C)a = ; c = D) a = ; c = Use the inverse trig functions to epress the angle in terms of the indicated unknown side. ) b A Use one of the inverse trig functions csc- or sec- to epress angle A in terms of b. A) A = csc- b B) A = sec- b C)A = sec- b D) A = csc- b Which answer choice is equivalent to the given epression? ) + sin + - sin A) sec - sin B) csc C) tan D) sec 7
8 Answer Ke Testname: PRECALCULUS INDIVIDUAL EXAM - MATH COMPETITION 008 ) A ) A ) B ) D ) C 6) C 7) A 8) B 9) D 0) A ) C ) A ) C ) D ) C 6) B 7) B 8) B 9) A 0) D ) A ) C ) A ) D ) B 6) A 7) D 8) D 9) A 0) C ) B ) A ) B ) C ) D 8
Name Please print your name as it appears on the class roster.
Berkele Cit College Practice Problems Math 1 Precalculus - Final Eam Preparation Name Please print our name as it appears on the class roster. SHORT ANSWER. Write the word or phrase that best completes
More information25) x x + 30 x2 + 15x ) x Graph the equation. 30) y = - x - 1
Pre-AP Algebra Final Eam Review Solve. ) A stone is dropped from a tower that is feet high. The formula h = - t describes the stoneʹs height above the ground, h, in feet, t seconds after it was dropped.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Eam Review MAC 1 Spring 0 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) (- + ) - = -( - 7) {-
More informationREVIEW. cos 4. x x x on (0, x y x y. 1, if x 2
Math ` Part I: Problems REVIEW Simplif (without the use of calculators). log. ln e. cos. sin (cos ). sin arccos( ). k 7. k log (sec ) 8. cos( )cos 9. ( ) 0. log (log) Solve the following equations/inequalities.
More informationChapter 12 and 13 Math 125 Practice set Note: the actual test differs. Given f(x) and g(x), find the indicated composition and
Chapter 1 and 13 Math 1 Practice set Note: the actual test differs. Given f() and g(), find the indicated composition. 1) f() = - ; g() = 3 + Find (f g)(). Determine whether the function is one-to-one.
More informationLesson 9.1 Using the Distance Formula
Lesson. Using the Distance Formula. Find the eact distance between each pair of points. a. (0, 0) and (, ) b. (0, 0) and (7, ) c. (, 8) and (, ) d. (, ) and (, 7) e. (, 7) and (8, ) f. (8, ) and (, 0)
More informationName DIRECTIONS: PLEASE COMPLET E ON A SEPARATE SHEET OF PAPER. USE THE ANSWER KEY PROVIDED TO CORRECT YOUR WORK. THIS WILL BE COLLECTED!!!
FINAL EXAM REVIEW 0 PRECALCULUS Name DIRECTIONS: PLEASE COMPLET E ON A SEPARATE SHEET OF PAPER. USE THE ANSWER KEY PROVIDED TO CORRECT YOUR WORK. THIS WILL BE COLLECTED!!! State the domain of the rational
More informationMath 2412 Pre Calculus TEST 2 Prep Fall 2011
Math 41 Pre Calculus TEST Prep Fall 011 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the eact value under the given conditions. 1) sin α
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Eam Review MAC 1 Fall 011 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) (- + ) - = -( - 7) A)
More information9) A) f-1(x) = 8 - x B) f-1(x) = x - 8 C)f-1(x) = x + 8 D) f-1(x) = x 8
Review for Final Eam Name Algebra- Trigonometr MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polnomial completel. If a polnomial cannot
More informationHCC-SE MATH DEPT. 1 Revised Fall 2008
FINAL EXAM REVIEW ITEMS Math : College Algebra Find the -intercepts and an -intercepts. ) f() = + 7-0 ) = Name ) Select the equation that describes the graph. Solve the equation and epress the solution
More informationMath 1160 Final Review (Sponsored by The Learning Center) cos xcsc tan. 2 x. . Make the trigonometric substitution into
Math 60 Final Review (Sponsored by The Learning Center). Simplify cot csc csc. Prove the following identities: cos csc csc sin. Let 7sin simplify.. Prove: tan y csc y cos y sec y cos y cos sin y cos csc
More informationAnswers for the problems can be found at the end of this packet starting on Page 12.
MAC 0 Review for Final Eam The eam will consists of problems similar to the ones below. When preparing, focus on understanding and general procedures (when available) rather than specific question. Answers
More informationSummary, Review, and Test
944 Chapter 9 Conic Sections and Analtic Geometr 45. Use the polar equation for planetar orbits, to find the polar equation of the orbit for Mercur and Earth. Mercur: e = 0.056 and a = 36.0 * 10 6 miles
More informationMath 180 Chapter 10 Lecture Notes. Professor Miguel Ornelas
Math 180 Chapter 10 Lecture Notes Professor Miguel Ornelas 1 M. Ornelas Math 180 Lecture Notes Section 10.1 Section 10.1 Parabolas Definition of a Parabola A parabola is the set of all points in a plane
More informationMONTGOMERY HIGH SCHOOL CP Pre-Calculus Final Exam Review
MONTGOMERY HIGH SCHOOL 01-015 CP Pre-Calculus Final Eam Review The eam will cover the following chapters and concepts: Chapter 1 Chapter 1.1 Functions.1 Power and Radical Functions 1. Analyzing Graphs
More informationPRE-CALCULUS FORM IV. Textbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning.
PRE-CALCULUS FORM IV Tetbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning. Course Description: This course is designed to prepare students
More informationSolve the equation for the specified variable. Use the distributive property to factor as necessary. 2) -9s + 8p = tp - 8 for p
College Readiness Math Final Eam Review Sheet Solve the equation. 1) r + 6 = r + 8 3 6 Solve the equation for the specified variable. Use the distributive propert to factor as necessar. 2) -9s + 8p = tp
More informationCK- 12 Algebra II with Trigonometry Concepts 1
10.1 Parabolas with Verte at the Origin Answers 1. up. left 3. down 4.focus: (0, -0.5), directri: = 0.5 5.focus: (0.065, 0), directri: = -0.065 6.focus: (-1.5, 0), directri: = 1.5 7.focus: (0, ), directri:
More informationFind the distance between the pair of points. 2) (7, -7) and (3, -5) A) 12 3 units B) 2 5 units C) 6 units D) 12 units B) 8 C) 63 2
Sample Departmental Final - Math 9 Write the first five terms of the sequence whose general term is given. 1) a n = n 2 - n 0, 2,, 12, 20 B) 2,, 12, 20, 30 C) 0, 3, 8, 1, 2 D) 1,, 9, 1, 2 Find the distance
More informationMATH 2 - PROBLEM SETS
MATH - PROBLEM SETS Problem Set 1: 1. Simplify and write without negative eponents or radicals: a. c d p 5 y cd b. 5p 1 y. Joe is standing at the top of a 100-foot tall building. Mike eits the building
More informationEAST LOS ANGELES COLLEGE
EAST LOS ANGELES COLLEGE NAME: MATHEMATICS FINAL EXAM SAMPLE INSTRUCTOR: ANNE SISWANTO; TIME: 10 MINUTES --------------------------------------------------------------------------------------------------------------------------
More information104Math. Find the equation of the parabola and sketch it in the exercises 10-18:
KING SAUD UNIVERSITY COLEGE OF SCIENCE DEPARTMENT OF MATHEMATICS Math Prof Messaoud Bounkhel List of Eercises: Chapter [Parabola] Find the elements of the parabola and sketch it in the eercises -9: ( )
More informationPreCalculus First Semester Exam Review
PreCalculus First Semester Eam Review Name You may turn in this eam review for % bonus on your eam if all work is shown (correctly) and answers are correct. Please show work NEATLY and bo in or circle
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 170 Final Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the function at the given value of the independent variable and
More informationMath 2412 Final Exam Review
Math 41 Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor and simplify the algebraic expression. 1) (x + 4) /5 - (x + 4) 1/5
More informationPrecalculus Spring Final Review Name
Precalculus Spring Final Review Name Solve the equation on the interval 0 θ < ". ) sin θ + sin θ = 0 A) 0, ", " 3, 5" 3 B) 0, ", 3" C) 0, ", " 3, " 3 D) 0, ", " 3, 5" 3 SHORT ANSWER. Answer the question.
More informationA. Correct! These are the corresponding rectangular coordinates.
Precalculus - Problem Drill 20: Polar Coordinates No. 1 of 10 1. Find the rectangular coordinates given the point (0, π) in polar (A) (0, 0) (B) (2, 0) (C) (0, 2) (D) (2, 2) (E) (0, -2) A. Correct! These
More informationPreCalculus Final Exam Review Revised Spring 2014
PreCalculus Final Eam Review Revised Spring 0. f() is a function that generates the ordered pairs (0,0), (,) and (,-). a. If f () is an odd function, what are the coordinates of two other points found
More informationTest # 33 QUESTIONS MATH131 091700 COLLEGE ALGEBRA Name atfm131bli www.alvarezmathhelp.com website MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
More informationMath125 Exam 5 (Final) Review Name. Do the following as indicated. 17) log 17x = 1.2 (Round answer to four decimal places.)
Math12 Eam (Final) Review Name Do the following as indicated. For the given functions f and g, find the requested function. 1) f() = - 6; g() = 92 Find (f - g)(). 2) f() = 33 + 1; g() = 2-2 Find (f g)().
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Final Exam Review - Math 2412 Fall 2013 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the term indicated in the expansion. 1) (x + 3y)11;
More informationUse transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function. 5) f(x) = -2 x+3 + 4
Review for Spring Exam Entire Review must be completed with a passing grade in order to be eligible for a retest. Due on day of final exam. ALL PROBLEMS ARE TO BE WORKED ON SEPARATE PAPER. NO WORK NO CREDIT!
More information2. 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 informationPre Calculus Spring Final Exam REVIEW
Pre Calculus Spring Final Eam REVIEW Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. ) B = 43 C = 7 b = 4 Two sides and an angle (SSA) of a triangle are
More information1.1 Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 1) 162
Math 00 Midterm Review Dugopolski Trigonometr Edition, Chapter and. Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. ) ) - ) For the given angle,
More informationMATH 165 Common Final Exam Review SPRING The amount of carbon 14 remaining in animal bones after t years, is given by
1 MATH 165 Common Final Exam Review SPRING 017 1. The amount of carbon 14 remaining in animal bones after t years, is given by A() t 0.0001 t A0e where 0 A is the amount present initially. Estimate, to
More information1 x. II. CHAPTER 2: (A) Graphing Rational Functions: Show Asymptotes using dotted lines, Intercepts, Holes(Coordinates, if any.)
FINAL REVIEW-014: Before using this review guide be sure to study your test and quizzes from this year. The final will contain big ideas from the first half of the year (chapters 1-) but it will be focused
More informationIntegration Techniques for the AB exam
For the AB eam, students need to: determine antiderivatives of the basic functions calculate antiderivatives of functions using u-substitution use algebraic manipulation to rewrite the integrand prior
More informationMath 101 chapter six practice exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math 1 chapter si practice eam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Which equation matches the given calculator-generated graph and description?
More information( ) 2 + 2x 3! ( x x ) 2
Review for The Final Math 195 1. Rewrite as a single simplified fraction: 1. Rewrite as a single simplified fraction:. + 1 + + 1! 3. Rewrite as a single simplified fraction:! 4! 4 + 3 3 + + 5! 3 3! 4!
More information2. 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 informationUnit 10 Prerequisites for Next Year (Calculus)
Unit 0 Prerequisites for Net Year (Calculus) The following Study Guide is the required INDEPENDENT review for you to work through for your final unit. You WILL have a test that covers this material after
More informationMATH 175: Final Exam Review for Pre-calculus
MATH 75: Final Eam Review for Pre-calculus In order to prepare for the final eam, you need too be able to work problems involving the following topics:. Can you graph rational functions by hand after algebraically
More informationMATH 175: Final Exam Review for Pre-calculus
MATH 75: Final Eam Review for Pre-calculus In order to prepare for the final eam, you need to be able to work problems involving the following topics:. Can you find and simplify the composition of two
More informationHonors Pre-Calculus Summer Work
Honors Pre-Calculus Summer Work Attached you will find a variety of review work based on the prerequisites needed for the Honors Pre-Calculus curriculum. The problems assigned should be the minimum you
More informationPre-Calculus and Trigonometry Capacity Matrix
Pre-Calculus and Capacity Matri Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational epressions Solve polynomial equations and equations involving rational epressions
More informationMath Review Packet #5 Algebra II (Part 2) Notes
SCIE 0, Spring 0 Miller Math Review Packet #5 Algebra II (Part ) Notes Quadratic Functions (cont.) So far, we have onl looked at quadratic functions in which the term is squared. A more general form of
More informationMathematics Placement Examination (MPE)
Practice Problems for Mathematics Placement Eamination (MPE) Revised June, 011 When ou come to New Meico State Universit, ou ma be asked to take the Mathematics Placement Eamination (MPE) Your inital placement
More information5, tan = 4. csc = Simplify: 3. Simplify: 4. Factor and simplify: cos x sin x cos x
Precalculus Final Review 1. Given the following values, evaluate (if possible) the other four trigonometric functions using the fundamental trigonometric identities or triangles csc = - 3 5, tan = 4 3.
More informationMath 370 Semester Review Name
Math 370 Semester Review Name These problems will give you an idea of what may be included on the final exam. Don't worry! The final exam will not be this long! 1) State the following theorems: (a) Remainder
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) 2
Cal II- Final Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Epress the following logarithm as specified. ) ln 4. in terms of ln and
More informationUnit 6: 10 3x 2. Semester 2 Final Review Name: Date: Advanced Algebra
Semester Final Review Name: Date: Advanced Algebra Unit 6: # : Find the inverse of: 0 ) f ( ) = ) f ( ) Finding Inverses, Graphing Radical Functions, Simplifying Radical Epressions, & Solving Radical Equations
More informationMcKinney High School AP Calculus Summer Packet
McKinne High School AP Calculus Summer Packet (for students entering AP Calculus AB or AP Calculus BC) Name:. This packet is to be handed in to our Calculus teacher the first week of school.. ALL work
More informationAP Calculus BC Summer Review
AP Calculus BC 07-08 Summer Review Due September, 07 Name: All students entering AP Calculus BC are epected to be proficient in Pre-Calculus skills. To enhance your chances for success in this class, it
More informationExam. Name. Domain: (0, ) Range: (-, ) Domain: (0, ) Range: (-, ) Domain: (-, ) Range: (0, ) Domain: (-, ) Range: (0, ) y
Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the function and write the domain and range in interval notation. ) f () = 5 B) 0 0
More informationMath 107 Study Guide for Chapters 5 and Sections 6.1, 6.2 & 6.5
Math 07 Study Guide for Chapters 5 and Sections.,. &.5 PRACTICE EXERCISES. Answer the following. 5 Sketch and label the angle θ = in the coordinate plane. Determine the quadrant and reference angle for
More informationMath 370 Semester Review Name
Math 370 Semester Review Name 1) State the following theorems: (a) Remainder Theorem (b) Factor Theorem (c) Rational Root Theorem (d) Fundamental Theorem of Algebra (a) If a polynomial f(x) is divided
More informationC)not a function. B) function domain: {-3, 2, 4, 6} range: {-7, 4, 2, -1}
Name Spring Semester Final Review (Dual) Precalculus MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the relation represents a function.
More informationReady To Go On? Skills Intervention 10-1 Introduction to Conic Sections
Find this vocabular word in Lesson 10-1 and the Multilingual Glossar. Graphing Parabolas and Hperbolas on a Calculator A is a single curve, whereas a has two congruent branches. Identif and describe each
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Semester 1Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. 1) Which one of the equations below matches the graph? 1)
More informationTest #4 33 QUESTIONS MATH1314 09281700 COLLEGE ALGEBRA Name atfm1314bli28 www.alvarezmathhelp.com website SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
More informationMath125 Exam 5 Review Name. Do the following as indicated.
Math Eam Review Name Do the following as indicated. For the given functions f and g, find the requested function. ) f() = - 6; g() = 9 Find (f - g)(). ) ) f() = 33 + ; g() = - Find (f g)(). 3) f() = ;
More informationName. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
REVIEW Eam #3 : 3.2-3.6, 4.1-4.5, 5.1 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the Leading Coefficient Test to determine the end behavior
More information1 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.
More informationCalculus 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 informationHonors Accelerated Pre-Calculus Midterm Exam Review Name: January 2010 Chapter 1: Functions and Their Graphs
Honors Accelerated Pre-Calculus Midterm Eam Review Name: January 010 Chapter 1: Functions and Their Graphs 1. Evaluate the function at each specified value of the independent variable and simplify. 1 f
More informationAdvanced Calculus BC Summer Work Due: 1 st Day of School
Dear Calculus BC student, I hope that ou re all enjoing our first few das of summer! Here s something that will make it a little more fun! Enclosed ou will find a packet of review questions that ou should
More information12) y = -2 sin 1 2 x - 2
Review -Test 1 - Unit 1 and - Math 41 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find and simplify the difference quotient f(x + h) - f(x),
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
0 Final Practice Disclaimer: The actual eam differs. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Epress the number in scientific notation. 1) 0.000001517
More informationMATH 0312 FINAL EXAM REVIEW ITEMS
MATH 012 FINAL EXAM REVIEW ITEMS Name The items on this review are representative of the items that ou might see on our course final eam. No formul sheets are allowed and calculators are not allowed on
More informationAP Calculus AB Summer Assignment Mrs. Berkson
AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the
More information* Circle these problems: 23-27, 37, 40-44, 48, No Calculator!
AdvPreCal 1 st Semester Final Eam Review Name 1. Solve using interval notation: 7 8 * Circle these problems: -7, 7, 0-, 8, 6-66 No Calculator!. Solve and graph: 0. Solve using a number line and leave answer
More informationSummer 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 informationAP Calculus AB Summer Assignment Mrs. Berkson
AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the
More informationR3.6 Solving Linear Inequalities. 3) Solve: 2(x 4) - 3 > 3x ) Solve: 3(x 2) > 7-4x. R8.7 Rational Exponents
Level D Review Packet - MMT This packet briefly reviews the topics covered on the Level D Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below,
More informationDiagnostic Tests Study Guide
California State Universit, Sacramento Department of Mathematics and Statistics Diagnostic Tests Stud Guide Descriptions Stud Guides Sample Tests & Answers Table of Contents: Introduction Elementar Algebra
More information1. Evaluate the function at each specified value of the independent variable and simplify. f 2a.)
Honors Pre-Calculus Midterm Eam Review Name: January 04 Chapter : Functions and Their Graphs. Evaluate the function at each specified value of the independent variable and simplify. f ( ) f () b. f ( )
More informationGroup/In-Class Exercises 8/18/09 g0401larson8etrig.tst 4.1 Radian and Degree Measure
Group/In-Class Exercises 8/8/09 g040larson8etrig.tst 4. Radian and Degree Measure Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The given angle
More informationSANDERSON 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 informationEquations for Some Hyperbolas
Lesson 1-6 Lesson 1-6 BIG IDEA From the geometric defi nition of a hperbola, an equation for an hperbola smmetric to the - and -aes can be found. The edges of the silhouettes of each of the towers pictured
More informationInstructor: Imelda Valencia Course: A3 Honors Pre Calculus
Student: Date: Instructor: Imelda Valencia Course: A3 Honors Pre Calculus 01 017 Assignment: Summer Homework for those who will be taking FOCA 017 01 onl available until Sept. 15 1. Write the epression
More informationCoordinate geometry. + bx + c. Vertical asymptote. Sketch graphs of hyperbolas (including asymptotic behaviour) from the general
A Sketch graphs of = a m b n c where m = or and n = or B Reciprocal graphs C Graphs of circles and ellipses D Graphs of hperbolas E Partial fractions F Sketch graphs using partial fractions Coordinate
More informationFind: sinθ. Name: Date:
Name: Date: 1. Find the exact value of the given trigonometric function of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.) Find: sinθ c a θ a a =
More informationPre-Calculus and Trigonometry Capacity Matrix
Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational expressions Solve polynomial equations and equations involving rational expressions Review Chapter 1 and their
More informationSummer Packet Honors PreCalculus
Summer Packet Honors PreCalculus Honors Pre-Calculus is a demanding course that relies heavily upon a student s algebra, geometry, and trigonometry skills. You are epected to know these topics before entering
More information1. For each of the following, state the domain and range and whether the given relation defines a function. b)
Eam Review Unit 0:. For each of the following, state the domain and range and whether the given relation defines a function. (,),(,),(,),(5,) a) { }. For each of the following, sketch the relation and
More information0 where A is the amount present initially. Estimate, to the nearest year, the
MATH 65 Common Final Exam Review SPRING 04. Cindy will require $9,000 in 4 years to return to college to get an MBA degree. How much money should she ask her parents for now so that, if she invests it
More informationConvert the equation to the standard form for an ellipse by completing the square on x and y. 3) 16x y 2-32x - 150y = 0 3)
Math 370 Exam 5 Review Name Graph the ellipse and locate the foci. 1) x 6 + y = 1 1) foci: ( 15, 0) and (- 15, 0) Objective: (9.1) Graph Ellipses Not Centered at the Origin Graph the ellipse. ) (x + )
More informationMATH 91 Final Study Package Name
MATH 91 Final Stud Package Name Solve the sstem b the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to epress the solution set. 1) - = 1 1)
More informationAP 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 informationSophomore Year: Algebra II Textbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012
Sophomore Year: Algebra II Tetbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012 Course Description: The purpose of this course is to give students a strong foundation
More information( ) ( ) ( ) ( ) MATHEMATICS Precalculus Martin Huard Fall 2007 Semester Review. 1. Simplify each expression. 4a b c. x y. 18x. x 2x.
MATHEMATICS 0-009-0 Precalculus Martin Huard Fall 007. Simplif each epression. a) 8 8 g) ( ) ( j) m) a b c a b 8 8 8 n f) t t ) h) + + + + k) + + + n) + + + + + ( ) i) + n 8 + 9 z + l) 8 o) ( + ) ( + )
More information2. Use your graphing calculator to graph each of the functions below over the interval 2, 2
MSLC Math 0 Final Eam Review Disclaimer: This should NOT be used as your only guide for what to study. if 0. Use the piece-wise defined function f( ) to answer the following: if a. Compute f(0), f(), f(-),
More informationAlgebra 2 End of Year Practice Exam Specification Sheet
Algebra End of Year Practice Exam Specification Sheet Free Response (Vocabular, Knowledge, Concepts, Explanations). Properties of real numbers. Procedure (write procedure or process). Concept development/linkage
More informationMath 030 Review for Final Exam Revised Fall 2010 RH/ DM 1
Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1 1. Solve the equations: (-1) (7) (-) (-1) () 1 1 1 1 f. 1 g. h. 1 11 i. 9. Solve the following equations for the given variable: 1 Solve for. D ab
More informationAP Calculus AB Summer Assignment
AP Calculus AB 07-08 Summer Assignment Welcome to AP Calculus AB! You are epected to complete the attached homework assignment during the summer. This is because of class time constraints and the amount
More informationTHEOREM: THE CONSTANT RULE
MATH /MYERS/ALL FORMULAS ON THIS REVIEW MUST BE MEMORIZED! DERIVATIVE REVIEW THEOREM: THE CONSTANT RULE The erivative of a constant function is zero. That is, if c is a real number, then c 0 Eample 1:
More informationLearning Goals. College of Charleston Department of Mathematics Math 101: College Algebra Final Exam Review Problems 1
College of Charleston Department of Mathematics Math 0: College Algebra Final Eam Review Problems Learning Goals (AL-) Arithmetic of Real and Comple Numbers: I can classif numbers as natural, integer,
More informationHonors PreCalculus Final Exam Review Mr. Serianni
Honors PreCalculus Final Eam Review Mr. Serianni Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert the angle to decimal degrees and round
More information