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


 Kelly Lyons
 11 months ago
 Views:
Transcription
1 MAT 33C  MartinGa Intermediate Algebra Chapter 8 ( ) Practice for the Eam Name Date Da/Time: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant ± b completing the square quadratic inequalit (h k) (0 k) (h 0) b a 1) The helps us find the number and tpe of solutions of a quadratic equation. 1) ) If a = b then a =. ) 3) The graph of f() = a + b + c where a is not 0 is a parabola whose verte has value of. 3) 4) A(n) is an inequalit that can be written so that one side is a quadratic epression and the other side is 0. 4) ) The process of writing a quadratic equation so that one side is a perfect square trinomial is called. ) 6) The graph of + k has verte. 6) 7) The graph of (  h) has verte. 7) 8) The graph of (  h) + k has verte. 8) 9) The formula = b ± b  4ac a is called the. 9) ) A equation is one that can be written in the form a + b + c = 0 where a b and c are real numbers and a is not 0. ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the square root propert to solve the equation. 11) = 11 A) B) 60. C)11 D) ) 1
2 1) = 1 A) 1 B) 1 C) D) ) 13) = 96 13) A) B) 48 C)4 6 D) 16 14) ( + 8) = 0 14) A) B) C)  D) ) = 0 1) A) B) i 1 i 1 C) 1i 1i D) ) ( + 3) = 16) A) B)  8 C) D) Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. 17) A) = ( + 9) B) = ( + 3) C) = ( + 36) D) = ( + 6) 17) 18) A) (64) = (  8) B) = (  8) C) (6) = (  16) D) = (  16) 18) 19) ) A) = C) =  11 B) = D) =
3 0) ) A) = + 13 C) = B) = D) = Solve the equation b completing the square. 1) = 0 1) A) 31 B) 36 4 C)  4 D) 4 ) = 0 ) A) B) C) D) ) = 0 3) A) 39 B) i 63i C) i D) 69i i 4) + 13 = 1 4) A) B) C) D) ) = 0 A)  i 7 + i C)   i 7 + i B)  i i D)   i i ) Use the quadratic formula to solve the equation. 6) = 0 6) A) 18 B) 18 C) 1 8 D) ) = 0 7) A) 8 B) 8  i 8 + i C) 8 8 D) 8 8) = 0 8) A) B) C) D)
4 9) + 8 =  1 9) A) B) C) D) ) = 0 A) 9  i i B) ) C) 9  i i D) ) z  = z ) A) 3 4 B) C) D) ) ( + 3)(  1) = 4 3) A) B) 1  i i 3 C) 1  i i 3 D) ) ( + 8)(  9) = (  1)  7 A) B) ) C) 1 D) Use the quadratic formula and a calculator to approimate the solution to the nearest tenth. 34) = 0 34) A) = 6 = 7.3 B) = 1.7 = 0.4 C) = 0.8 = 3.4 D) = 0.4 = 1.7 Solve. 3) A ball is thrown upward with an initial velocit of 4 meters per second from a cliff that is 30 meters high. The height of the ball is given b the quadratic equation h = 4.9t + 4t + 90 where h is in meters and t is the time in seconds since the ball was thrown. Find the time that the ball will be 60 meters from the ground. Round our answer to the nearest tenth of a second. 3) A).3 seconds B) 9.3 seconds C) 9. seconds D).4 seconds 36) The revenue for a small compan is given b the quadratic function r(t) = 8t + 6t where t is the number of ears since 1998 and r(t) is in thousands of dollars. If this trend continues find the ear after 1998 in which the compan's revenue will be $930 thousand. Round to the nearest whole ear. 36) A) 003 B) 00 C) 004 D) 001 4
5 Use the discriminant to determine the number and tpe of solutions of the equation. 37) = 0 A) two comple but not real solutions B) two real solutions C) one real solution 37) 38)  3 = 3 + A) one real solution B) two real solutions C) two comple but not real solutions 38) 39) = 0 A) two comple but not real solutions B) two real solutions C) one real solution 39) 40) 4 = 33 A) two comple but not real solutions B) two real solutions C) one real solution 40) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Sketch the graph of the quadratic function. Give the verte and ais of smmetr. 41) f() = )
6 4) f() = (  4) 4) ) f() = ( + ) ) ) f() = 44)
7 4) f() = 1 3 ( + 4) + 1 4) ) f() = 4(  4) ) ) f() = ( + ) 47) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the function in the form = a(  h) + k. 48) f() = A) = (  )  80 B) = ( + )  C) = ( + ) + 0 D) = (  ) ) 7
8 49) f() = A) = (  7) + B) = ( + 7) C) = (  14) + 39 D) = ( + 7) ) Find the verte of the graph of the quadratic function. 0) f() = A) (3 6) B) (31) C)(63) D) (330) 0) 1) f() = A) ( 19) B) (1 6) C)( 61) D) (1 ) 1) ) f() = A) (8 11) B) (43) C)(4 ) D) (4 41) ) 3) f() = A) (9 17) B) C) D) (11 ) 3) Solve. 4) Find two numbers whose sum is 118 and whose product is as large as possible. [Hint: Let and be the two numbers.their product can be described b the function f() = (118  ).] A) 1 13 and B) 8 and 60 C)9 and 9 D) 9 and ) ) An arrow is fired into the air with an initial velocit of 64 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given b the function h(t) = 16t + 64t. Find the maimum height of the arrow. A) 64 ft B) 3 ft C)96 ft D) 19 ft ) 6) The length and width of a rectangle must have a sum of 34 feet. Find the dimensions of the rectangle whose area is as large as possible. A) length 1 13 ft; width ft B) length 16 ft; width 18 ft ) C)length 17 ft; width 17 ft D) length 17 ft; width 1 ft 7) The cost in millions of dollars for a compan to manufacture thousand automobiles is given b the function C() = Find the number of automobiles that must be produced to minimize the cost. A) 1 thousand automobiles B) 1 thousand automobiles C) thousand automobiles D) thousand automobiles 7) 8
9 Find the maimum or minimum value of the function. Approimate to two decimal places. 8) f() = A) 7.77 B) C) 0.06 D) ) 9
10 Answer Ke Testname: PRACTICE FOR THE EXAM ( ) 1) discriminant ) ± b 3) b a 4) quadratic inequalit ) completing the square 6) (0 k) 7) (h 0) 8) (h k) 9) quadratic formula ) quadratic 11) A 1) D 13) A 14) D 1) B 16) C 17) B 18) B 19) B 0) D 1) D ) C 3) B 4) C ) A 6) B 7) D 8) A 9) C 30) A 31) B 3) A 33) B 34) D 3) C 36) D 37) B 38) B 39) C 40) A
11 Answer Ke Testname: PRACTICE FOR THE EXAM ( ) 41) verte (03); ais = ) verte (4 0); ais = ) verte ( 3); ais =
12 Answer Ke Testname: PRACTICE FOR THE EXAM ( ) 44) verte (0 0); ais = ) verte (4 1); ais = ) verte (4 1); ais =
13 Answer Ke Testname: PRACTICE FOR THE EXAM ( ) 47) verte ( 0); ais = ) C 49) D 0) A 1) D ) B 3) C 4) C ) A 6) C 7) C 8) D 13
Final Exam Review Part 2 #4
Final Eam Review Part # Intermediate Algebra / MAT 135 Fall 01 Master (Prof. Fleischner) Student Name/ID: 1. Solve for, where is a real number. + = 8. Solve for, where is a real number. 9 1 = 3. Solve
More informationPRACTICE 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
More informationSkills 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
More informationLesson 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
More information= 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
More informationLesson 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,
More informationAlgebra Notes Quadratic Functions and Equations Unit 08
Note: This Unit contains concepts that are separated for teacher use, but which must be integrated by the completion of the unit so students can make sense of choosing appropriate methods for solving quadratic
More information5. 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
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Rationalize the denominator and simplify. 1 1) B) C) 1 D) 1 ) Identify the pair of like
More information16x y 8x. 16x 81. U n i t 3 P t 1 H o n o r s P a g e 1. Math 3 Unit 3 Day 1  Factoring Review. I. Greatest Common Factor GCF.
P a g e 1 Math 3 Unit 3 Day 1  Factoring Review I. Greatest Common Factor GCF Eamples: A. 3 6 B. 4 8 4 C. 16 y 8 II. Difference of Two Squares Draw (  ) ( + ) Square Root 1 st and Last Term Eamples:
More informationAnswer Explanations. The SAT Subject Tests. Mathematics Level 1 & 2 TO PRACTICE QUESTIONS FROM THE SAT SUBJECT TESTS STUDENT GUIDE
The SAT Subject Tests Answer Eplanations TO PRACTICE QUESTIONS FROM THE SAT SUBJECT TESTS STUDENT GUIDE Mathematics Level & Visit sat.org/stpractice to get more practice and stud tips for the Subject Test
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Calculus 1 Instructor: James Lee Practice Exam 3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine from the graph whether the function
More informationSolve each equation by completing the square. Round to the nearest tenth if necessary. 5. x 2 + 4x = 6 ANSWER: 5.2, 1.2
Find the value of c that makes each trinomial a perfect square. 1. x 2 18x + c 81 3. x 2 + 9x + c Solve each equation by completing the square. Round to the nearest tenth if necessary. 5. x 2 + 4x = 6
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) x y =
Santa Monica College Practicing College Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the standard equation for the circle. 1) Center
More informationBRONX 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
More informationIntermediate Algebra 100A Final Exam Review Fall 2007
1 Basic Concepts 1. Sets and Other Basic Concepts Words/Concepts to Know: roster form, set builder notation, union, intersection, real numbers, natural numbers, whole numbers, integers, rational numbers,
More informationLast modified Spring 2016
Math 00 Final Review Questions In problems 6, perform the indicated operations and simplif if necessar.. 8 6 8. 7 6. ( i) ( 4 i) 4. (8 i). ( 9 i)( 7 i) 6. ( i)( i) In problems 7, solve the following applications.
More informationProperties of the Graph of a Quadratic Function. has a vertex with an xcoordinate of 2 b } 2a
0.2 Graph 5 a 2 b c Before You graphed simple quadratic functions. Now You will graph general quadratic functions. Wh? So ou can investigate a cable s height, as in Eample 4. Ke Vocabular minimum value
More informationQuadratic Equations. Math 201 Chapter 4. General Outcome: Develop algebraic and graphical reasoning through the study of relations.
Math 201 Chapter 4 Quadratic Equations General Outcome: Develop algebraic and graphical reasoning through the study of relations. Specific Outcomes: RF1. Factor polynomial expressions of the form: ax
More informationThe Coordinate Plane. Circles and Polygons on the Coordinate Plane. LESSON 13.1 Skills Practice. Problem Set
LESSON.1 Skills Practice Name Date The Coordinate Plane Circles and Polgons on the Coordinate Plane Problem Set Use the given information to show that each statement is true. Justif our answers b using
More informationControlling the Population
Lesson.1 Skills Practice Name Date Controlling the Population Adding and Subtracting Polynomials Vocabulary Match each definition with its corresponding term. 1. polynomial a. a polynomial with only 1
More informationMath 125 Practice Problems for Test #3
Math Practice Problems for Test # Also stud the assigned homework problems from the book. Donʹt forget to look over Test # and Test #! Find the derivative of the function. ) Know the derivatives of all
More informationAdv Algebra S1 Final Exam Practice Test Calculator
Adv Algebra S1 Final Exam Practice Test Calculator Name Period NOTE: ANY TALKING OR SUSPICIOUS COMMUNICATION DURING OR AFTER THE IN CLASS FINAL EXAM TEST WILL RESULT IN AN AUTOMATIC GRADE OF 0%. Multiple
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 information290 Chapter 1 Functions and Graphs
90 Chapter Functions and Graphs 7. Studies show that teting while driving is as risk as driving with a 0.08 blood alcohol level, the standard for drunk driving. The bar graph shows the number of fatalities
More informationAttributes of Polynomial Functions VOCABULARY
8 Attributes of Polnomial Functions TEKS FCUS Etends TEKS ()(A) Graph the functions f () =, f () =, f () =, f () =, f () = b, f () =, and f () = log b () where b is,, and e, and, when applicable, analze
More informationSyllabus Objective: 2.9 The student will sketch the graph of a polynomial, radical, or rational function.
Precalculus Notes: Unit Polynomial Functions Syllabus Objective:.9 The student will sketch the graph o a polynomial, radical, or rational unction. Polynomial Function: a unction that can be written in
More informationState whether the following statements are true or false: 30. 1
Cumulative MTE 9 Review This packet includes major developmental math concepts that students ma use to prepare for the VPT Math (Virginia Placement Test for Math or for students to use to review essential
More informationCHAPTER 3 Applications of Differentiation
CHAPTER Applications of Differentiation Section. Etrema on an Interval.............. 0 Section. Rolle s Theorem and the Mean Value Theorem. 07 Section. Increasing and Decreasing Functions and the First
More informationAlgebra II: Chapter 4 Semester Review Multiple Choice: Select the letter that best answers the question. D. Vertex: ( 1, 3.5) Max. Value: 1.
Algebra II: Chapter Semester Review Name Multiple Choice: Select the letter that best answers the question. 1. Determine the vertex and axis of symmetry of the. Determine the vertex and the maximum or
More informationCHAPTER 3 Graphs and Functions
CHAPTER Graphs and Functions Section. The Rectangular Coordinate Sstem............ Section. Graphs of Equations..................... 7 Section. Slope and Graphs of Linear Equations........... 7 Section.
More information4 B. 4 D. 4 F. 3. How can you use the graph of a quadratic equation to determine the number of real solutions of the equation?
3.1 Solving Quadratic Equations COMMON CORE Learning Standards HSASSE.A. HSAREI.B.b HSFIF.C.8a Essential Question Essential Question How can ou use the graph of a quadratic equation to determine the
More informationObjective 2. TEKS A.2.A Review. line. Name Date TAKS
Objective TEKS A..A Review A..A Identif and sketch the general forms of linear ( ) and quadratic ( ) parent functions. A linear function is one whose graph is a straight line. Linear functions can be written
More informationMathematics 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.
More information8.4. If we let x denote the number of gallons pumped, then the price y in dollars can $ $1.70 $ $1.70 $ $1.70 $ $1.
8.4 An Introduction to Functions: Linear Functions, Applications, and Models We often describe one quantit in terms of another; for eample, the growth of a plant is related to the amount of light it receives,
More information9.3. Practice C For use with pages Tell whether the triangle is a right triangle.
LESSON 9.3 NAME DATE For use with pages 543 549 Tell whether the triangle is a right triangle. 1. 21 2. 3. 75 6 2 2 17 72 63 66 16 2 4. 110 5. 4.3 6. 96 2 4.4 10 3 3 4.5 Decide whether the numbers can
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 information1. Graph (on graph paper) the following equations by creating a table and plotting points on a coordinate grid y = 2x 2 4x + 2 x y.
1. Graph (on graph paper) the following equations by creating a table and plotting points on a coordinate grid y = 2x 2 4x + 2 x y y = x 2 + 6x 3 x y domain= range= 43 21 0 1 2 3 4 domain= range=
More informationAnswers. Investigation 2. ACE Assignment Choices. Applications. Problem 2.5. Problem 2.1. Problem 2.2. Problem 2.3. Problem 2.4
Answers Investigation ACE Assignment Choices Problem. Core, Problem. Core, Other Applications ; Connections, 3; unassigned choices from previous problems Problem.3 Core Other Connections, ; unassigned
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 informationGraphs of Polynomials: Polynomial functions of degree 2 or higher are smooth and continuous. (No sharp corners or breaks).
Graphs of Polynomials: Polynomial functions of degree or higher are smooth and continuous. (No sharp corners or breaks). These are graphs of polynomials. These are NOT graphs of polynomials There is a
More information1.5. Inequalities. Equations and Inequalities. Box (cont.) Sections
1 Equations and Inequalities Sections 1.5 1.8 2008 Pearson AddisonWesley. All rights reserved 1 Equations and Inequalities 1.5 Applications and Modeling with Quadratic Equations 1.6 Other Types of Equations
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the appropriate identity to find the indicated function value. Rationalize the denominator,
More informationAPPENDIX D Rotation and the General SecondDegree Equation
APPENDIX D Rotation and the General SecondDegree Equation Rotation of Aes Invariants Under Rotation After rotation of the  and aes counterclockwise through an angle, the rotated aes are denoted as the
More informationDIRECTIONS. PreTest 1. Evaluate 3(x 2y), if x 5 and y 4. A. 9 B. 7 C. 39 D. 18
DIRECTIONS Read each of the questions below, and then decide on the BEST answer. There are man different kinds of questions, so read each question carefull before marking an answer on our answer sheet.
More informationTo find the absolute extrema on a continuous function f defined over a closed interval,
Question 4: How do you find the absolute etrema of a function? The absolute etrema of a function is the highest or lowest point over which a function is defined. In general, a function may or may not have
More information26 Questions EOC Review #1 EOC REVIEW
Name Period 6 Questions EOC Review # EOC REVIEW Solve each: Give the BEST Answer. You may use a graphing calculator.. Which quadrant contains the verte of the following: f ( ) 8 st nd rd d. 4th. What type
More informationy x+ 2. A rectangular frame for a painting has a perimeter of 82 inches. If the length of the frame is 25 inches, find the width of the frame.
. Simplif the complex fraction x 4 4 x. x 4 x x 4 x x 4 x x 4 x x E) 4 x. A rectangular frame for a painting has a perimeter of 8 inches. If the length of the frame is inches, find the width of the frame.
More informationImportant Math 125 Definitions/Formulas/Properties
Exponent Rules (Chapter 3) Important Math 125 Definitions/Formulas/Properties Let m & n be integers and a & b real numbers. Product Property Quotient Property Power to a Power Product to a Power Quotient
More informationMini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models
Mini Lecture. Introduction to Algebra: Variables and Mathematical Models. Evaluate algebraic epressions.. Translate English phrases into algebraic epressions.. Determine whether a number is a solution
More informationMini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models
Mini Lecture. Introduction to Algebra: Variables and Mathematical Models. Evaluate algebraic epressions.. Translate English phrases into algebraic epressions.. Determine whether a number is a solution
More informationab is shifted horizontally by h units. ab is shifted vertically by k units.
Algera II Notes Unit Eight: Eponential and Logarithmic Functions Sllaus Ojective: 8. The student will graph logarithmic and eponential functions including ase e. Eponential Function: a, 0, Graph of an
More informationCHAPTER 1 Functions, Graphs, and Limits
CHAPTER Functions, Graphs, and Limits Section. The Cartesian Plane and the Distance Formula... Section. Graphs of Equations...8 Section. Lines in the Plane and Slope... MidChapter Quiz Solutions... Section.
More information(c) Find the gradient of the graph of f(x) at the point where x = 1. (2) The graph of f(x) has a local maximum point, M, and a local minimum point, N.
Calculus Review Packet 1. Consider the function f() = 3 3 2 24 + 30. Write down f(0). Find f (). Find the gradient of the graph of f() at the point where = 1. The graph of f() has a local maimum point,
More informationTangent Line Approximations. y f c f c x c. y f c f c x c. Find the tangent line approximation of. f x 1 sin x
SECTION 9 Differentials 5 Section 9 EXPLORATION Tangent Line Approimation Use a graphing utilit to graph f In the same viewing window, graph the tangent line to the graph of f at the point, Zoom in twice
More informationPolynomial, Power, and Rational Functions
Section 157 Chapter 2 2.1 Linear and Quadratic Functions and Modeling 2.2 Power Functions with Modeling 2.3 Polynomial Functions of Higher Degree with Modeling 2.4 Real Zeros of Polynomial Functions 2.5
More informationChapter 4. Chapter 4 Opener. Section 4.1. Big Ideas Math Blue WorkedOut Solutions. x 2. Try It Yourself (p. 147) x 0 1. y ( ) x 2
Chapter Chapter Opener Tr It Yourself (p. 7). As the input decreases b, the output increases b.. Input As the input increases b, the output increases b.. As the input decreases b, the output decreases
More informationAP Calculus BC Chapter 4 (A) 12 (B) 40 (C) 46 (D) 55 (E) 66
AP Calculus BC Chapter 4 REVIEW 4.1 4.4 Name Date Period NO CALCULATOR IS ALLOWED FOR THIS PORTION OF THE REVIEW. 1. 4 d dt (3t 2 + 2t 1) dt = 2 (A) 12 (B) 4 (C) 46 (D) 55 (E) 66 2. The velocity of a particle
More informationBryn Mawr College Department of Physics Mathematics Readiness Examination for Introductory Physics
Brn Mawr College Department of Phsics Mathematics Readiness Eamination for Introductor Phsics There are 7 questions and ou should do this eam in two and a half hours. Do not use an books, calculators,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 2) A) Not defined B)  2 5
Stud Guide for TEST I Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope of the line passing through the given pair of points. )
More informationLesson 7.1 Secret Codes
Lesson 7. Secret Codes. Use this table to code each word. Input A B C D E F G H I J K L M Coded output M N O P Q R S T U V W X Y Input N O P Q R S T U V W X Y Z Coded output Z A B C D E F G H I J K L a.
More informationSolve each equation by using the Square Root Property. Round to the nearest hundredth if necessary.
1. Solve each equation by using the Square Root Property. Round to the nearest hundredth if necessary. 2. 3. 4. 5. LASER LIGHT SHOW The area A in square feet of a projected laser light show is given by
More informationMAT09X FINAL EXAM REVIEW C) 86 D) ) A) 14r + 37 B) 6r + 30 C) 6r + 45 D) 6r ) 3 C) 1 D) 3 2
MAT09X FINAL EXAM REVIEW NAME MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. Perform the indicated operations ) ( ) ) 6 86 Evaluate the epression,
More information2.1 The Rectangular Coordinate System
. The Rectangular Coordinate Sstem In this section ou will learn to: plot points in a rectangular coordinate sstem understand basic functions of the graphing calculator graph equations b generating a table
More informationYEAR 10 MATHEMATICS Examination  Semester 2, 2015 WRITTEN QUESTION AND ANSWER BOOKLET
YEAR 10 MATHEMATICS Examination  Semester 2, 2015 WRITTEN QUESTION AND ANSWER BOOKLET STUDENT S NAME:: TEACHER S NAME: DATE: TIME ALLOWED FOR THIS PAPER: Reading time before commencing work: Working time
More information3.3 Real Zeros of Polynomial Functions
71_00.qxp 12/27/06 1:25 PM Page 276 276 Chapter Polynomial and Rational Functions. Real Zeros of Polynomial Functions Long Division of Polynomials Consider the graph of f x 6x 19x 2 16x 4. Notice in Figure.2
More informationSummer Review Packet (Limits & Derivatives) 1. Answer the following questions using the graph of ƒ(x) given below.
Name AP Calculus BC Summer Review Packet (Limits & Derivatives) Limits 1. Answer the following questions using the graph of ƒ() given below. (a) Find ƒ(0) (b) Find ƒ() (c) Find f( ) 5 (d) Find f( ) 0 (e)
More informationCHAPTER 11 VectorValued Functions
CHAPTER VectorValued Functions Section. VectorValued Functions...................... 9 Section. Differentiation and Integration of VectorValued Functions.... Section. Velocit and Acceleration.....................
More informationGraphing and Optimization
BARNMC_33886.QXD //7 :7 Page 74 Graphing and Optimization CHAPTER  First Derivative and Graphs  Second Derivative and Graphs 3 L Hôpital s Rule 4 CurveSketching Techniques  Absolute Maima and Minima
More informationPreCalculus and Trigonometry Capacity Matrix
PreCalculus 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 informationRolle s Theorem and the Mean Value Theorem. Rolle s Theorem
0_00qd //0 0:50 AM Page 7 7 CHAPTER Applications o Dierentiation Section ROLLE S THEOREM French mathematician Michel Rolle irst published the theorem that bears his name in 9 Beore this time, however,
More informationAP Calculus BC Summer Review
AP Calculus BC 0708 Summer Review Due September, 07 Name: All students entering AP Calculus BC are epected to be proficient in PreCalculus skills. To enhance your chances for success in this class, it
More informationPreCalculus and Trigonometry Capacity Matrix
Information PreCalculus 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
More informationREAD THE DIRECTIONS CAREFULLY! You may seek help anytime before the due date. STUDENTS ARE NOT ALLOWED TO
Advanced Algebra/Precalculus: Problem Sets rd Term READ THE DIRECTIONS CAREFULLY! Problem sets are due according to the schedule below. You may seek help anytime before the due date. STUDENTS ARE NOT ALLOWED
More informationCollege Algebra with Current Interesting Applications and Facts by Acosta & Karwowski, Kendall Hunt, Textbook Supplement (Revised 8/2013)
College Algebra with Current Interesting Applications and Facts b Acosta & Karwowski, Kendall Hunt, 01 Tetbook Supplement (Revised 8/013) Contents A. Comple Numbers B. Distance Formula, Midpoint Formula,
More informationChapter 1: Linear Equations and Functions
Chapter : Linear Equations and Functions Eercise.. 7 8+ 7+ 7 8 8+ + 7 8. + 8 8( + ) + 8 8+ 8 8 8 8 7 0 0. 8( ) ( ) 8 8 8 8 + 0 8 8 0 7. ( ) 8. 8. ( 7) ( + ) + + +. 7 7 7 7 7 7 ( ). 8 8 0 0 7. + + + 8 +
More informationIntroduction to Inequalities
Algebra Module A7 Introduction to Inequalities Copright This publication The Northern Alberta Institute of Technolog 00. All Rights Reserved. LAST REVISED Nov., 007 Introduction to Inequalities Statement
More informationHow can you write an equation of a line when you are given the slope and a point on the line? ACTIVITY: Writing Equations of Lines
.7 Writing Equations in PointSlope Form How can ou write an equation of a line when ou are given the slope and a point on the line? ACTIVITY: Writing Equations of Lines Work with a partner. Sketch the
More informationPolynomial Functions. 6A Operations with Polynomials. 6B Applying Polynomial. Functions
Polynomial Functions 6A Operations with Polynomials 61 Polynomials 6 Multiplying Polynomials 63 Dividing Polynomials Lab Explore the Sum and Difference of Two Cubes 64 Factoring Polynomials 6B Applying
More informationMath 1526 Excel Lab 2 Summer 2012
Math 1526 Excel Lab 2 Summer 2012 Riemann Sums, Trapezoidal Rule and Simpson's Rule: In this lab you will learn how to recover information from rate of change data. For instance, if you have data for marginal
More information1. m = 3, P (3, 1) 2. m = 2, P ( 5, 8) 3. m = 1, P ( 7, 1) 4. m = m = 0, P (3, 117) 8. m = 2, P (0, 3)
. Linear Functions 69.. Eercises To see all of the help resources associated with this section, click OSttS Chapter. In Eercises  0, find both the pointslope form and the slopeintercept form of the
More informationEvaluate and Graph Polynomial Functions
5.2 Evaluate and Graph Polynomial Functions Before You evaluated and graphed linear and quadratic functions. Now You will evaluate and graph other polynomial functions. Why? So you can model skateboarding
More informationCHAPTER 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
More informationUniversity of Bergen. Solutions to Exam in MAT111  Calculus 1
Universit of Bergen The Facult of Mathematics and Natural Sciences English Solutions to Eam in MAT  Calculus Wednesda Ma 0, 07, 09.004.00 Eercise. a) Find the real numbers and such that the comple variable
More information(x a) (a, b, c) P. (z c) E (y b)
( a). FUNCTIONS OF TWO VARIABLES 67 G (,, ) ( c) (a, b, c) P E ( b) Figure.: The diagonal PGgives the distance between the points (,, ) and (a, b, c) F Using Pthagoras theorem twice gives (PG) =(PF) +(FG)
More informationEssential Question How can you determine whether a polynomial equation has imaginary solutions? 2 B. 4 D. 4 F.
5. TEXAS ESSENTIAL KNOWLEDGE AND SKILLS 2A.7.A The Fundamental Theorem of Algebra Essential Question How can ou determine whether a polnomial equation has imaginar solutions? Cubic Equations and Imaginar
More informationPolynomial, Power, and Rational Functions
5144_Demana_Ch0pp16974 1/13/06 11:4 AM Page 169 CHAPTER Polynomial, Power, and Rational Functions.1 Linear and Quadratic Functions and Modeling. Power Functions with Modeling.3 Polynomial Functions of
More informationAP Calculus BC 2015 FreeResponse Questions
AP Calculus BC 05 FreeResponse Questions 05 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks of the College Board. AP Central
More informationMath 096Quadratic Formula page 1
Math 096Quadratic Formula page 1 A Quadratic Formula. Use the quadratic formula to solve quadratic equations ax + bx + c = 0 when the equations can t be factored. To use the quadratic formula, the equation
More informationName Period Date MATHLINKS GRADE 8 STUDENT PACKET 11 EXPONENTS AND ROOTS
Name Period Date 811 STUDENT PACKET MATHLINKS GRADE 8 STUDENT PACKET 11 EXPONENTS AND ROOTS 11.1 Squares and Square Roots Use numbers and pictures to understand the inverse relationship between squaring
More information3.1 Quadratic Functions and Their Models. Quadratic Functions. Graphing a Quadratic Function Using Transformations
3.1 Quadratic Functions and Their Models Quadratic Functions Graphing a Quadratic Function Using Transformations Graphing a Quadratic Function Using Transformations from Basic Parent Function, ) ( f Equations
More informationWorksheet Topic 1 Order of operations, combining like terms 2 Solving linear equations 3 Finding slope between two points 4 Solving linear equations
Worksheet Topic 1 Order of operations, combining like terms 2 Solving linear equations 3 Finding slope between two points 4 Solving linear equations 5 Multiplying binomials 6 Practice with exponents 7
More informationJAMAICA_7th Grade Math Table of Content with Listing of Activities
JAMAICA_7th Grade Math Table of Content with Listing of Activities 0. GSAT Review Number System: Comprehensive Review Algebra: Comprehensive Review Geometry: Comprehensive Review Mensuration: Comprehensive
More informationCHAPTER 2 Functions and Their Graphs
CHAPTER Functions and Teir Graps Section. Linear Equations in Two Variables............ 9 Section. Functions......................... 0 Section. Analzing Graps of Functions............. Section. A Librar
More informationAlgebra 2 CP Final Exam Review
Algebra CP Final Exam Review Name: THIS PACKET IS INTENDED TO BE USED AS SUPPLEMENTAL REVIEW AND PRACTICE THAT REFLECT THE TOPICS WHICH WILL BE COVERED ON THE FINAL EXAM. IT SHOULD NOT BE USED AS YOUR
More informationTopics Covered in Math 115
Topics Covered in Math 115 Basic Concepts Integer Exponents Use bases and exponents. Evaluate exponential expressions. Apply the product, quotient, and power rules. Polynomial Expressions Perform addition
More informationAlgebra I Semester 1 Exam Released
Algebra I 00 0 Semester Eam Released. Find the product. 6 9 0 7 0. Find the difference of the matrices. 6 0 8 0 7 0 8 0 9 0 8 7 8 7 7 0 7 0 6 9 8 7 7 0 8 90 6 9 8 7. The distributions of two classes final
More informationReview Sheet for Second Midterm Mathematics 1300, Calculus 1
Review Sheet for Second Midterm Mathematics 300, Calculus. For what values of is the graph of y = 5 5 both increasing and concave up? >. 2. Where does the tangent line to y = 2 through (0, ) intersect
More informationMontgomery College algebra Equations & Problem Solving *Order of Operations & Simplifying Algebraic. Expressions
Where to go for help with the lessons in the I textbook: www.pearsonsuccessnet.com Username: student id number followed by scpsfl Password: YYYYMMDDscpsfl Click Student Resource Choose the chapter Choose
More informationf 0 ab a b: base f
Precalculus Notes: Unit Eponential and Logarithmic Functions Sllabus Objective: 9. The student will sketch the graph of a eponential, logistic, or logarithmic function. 9. The student will evaluate eponential
More information