Quadratic Application Problems
|
|
- Silvia Griffin
- 6 years ago
- Views:
Transcription
1 Name Quadratic Application Problems 1. A roof shingle is dropped from a rooftop that is 100 feet above the ground. The height y (in feet) of the dropped roof shingle is given by the function y = -16t where t is the time (in seconds) since the shingle is dropped. i. Use your equation to find the height of the shingle after 2 seconds. ii. Use your graph to find the time at which the shingle is 10 feet above the ground. (Hint: Draw a horizontal line at y = 10, then find where it intersects the graph of the shingle s height.) 2. The cables between the two towers of the Takoma Narrows Bridge form a parabola that can be modeled by the graph of the equation y = x 2 0.4x where x and y are measured in feet. (See the picture of a similar bridge on page 637 of your book.)
2 i. How high is the cable 200 feet from the first tower? ii. What is the height of the cable above the water at its lowest point? 3. Fishing spiders can propel themselves across water and leap vertically from the surface of the water. During a vertical jump, the height of the body of the spider can be modeled by the function y = -4500x x + 43 where x is the duration (in seconds) of the jump and y is the height (in millimeters) of the spider above the surface of the water. i. Where is the maximum height shown in the graph? ii. What is the maximum height? ii. When does the spider reach its maximum height?
3 4. Students are selling packages of flower bulbs to raise money for a class trip. Last year, when the students charged $5 per package, they sold 150 packages. The students want to increase the cost per package. They estimate that they will lose 10 sales for each $1 increase in the cost per package. The sales revenue R (in dollars) generated by selling the packages is given by the function R = ( 5 + n )( n ) where n is the number of $1 increases. i. What will their revenue be if they make 3 ($1) increases? ii. Find the maximum revenue for this situation. iii. How many ($1) increases result in the maximum revenue? iv. What should the new price be? 5. The casts of some Broadway shows go on tour, performing their shows in cities across the United States. For the period , the number of tickets sold S (in millions) for Broadway road tours can be modeled by the function S = t 10.4t 2, where t is the number of years since 1990.
4 i. Use your equation to find the number of tickets sold in ii. In which year(s) did they sell 600 (million) tickets? iii. What year did they sell the most tickets? iv. How many tickets did they sell that year? 6. For the period , the number y of films produced in the world can be modeled by the function y = 10x 2 94x where x is the number of years since i. Use your equation to find the number of films produced in the year ii. In what year(s) were 4200 films produced? iii. In what year(s) were 9000 films produced?
5 7. For the period , the amount of money y (in billions of dollars) spent on advertising in the U.S. can be modeled by the function y = 0.93x x where x is the number of years since i. How much money was spent on advertising in 1996? ii. In what year(s) was 164 billion dollars spent? 8. Between the months of April and September, the number y of hours of daylight per day in Seattle, Washington, can be modeled by the equation y = x x + 13 where x is the number of days since April 1.
6 i. What is the x-value on April 19? Find the number of hours of daylight on April 19. ii. What is the x-value on July 4? Find the number of hours of daylight on July 4. iii. Which x-value(s) have 12 hours of daylight? What date(s) have 12 hours of daylight? iv. Do any of the days have 17 or more hours of daylight? If so, which ones? If not, explain. v. Do any of the days have 14 or more hours of daylight? If so, which ones? If not, explain.
Properties of the Graph of a Quadratic Function. has a vertex with an x-coordinate 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 informationGraph Quadratic Functions in Standard Form
TEKS 4. 2A.4.A, 2A.4.B, 2A.6.B, 2A.8.A Graph Quadratic Functions in Standard Form Before You graphed linear functions. Now You will graph quadratic functions. Wh? So ou can model sports revenue, as in
More informationA) (-1, -1, -2) B) No solution C) Infinite solutions D) (1, 1, 2) A) (6, 5, -3) B) No solution C) Infinite solutions D) (1, -3, -7)
Algebra st Semester Final Exam Review Multiple Choice. Write an equation that models the data displayed in the Interest-Free Loan graph that is provided. y = x + 80 y = -0x + 800 C) y = 0x 00 y = 0x +
More informationSolving Linear Quadratic Systems Algebraically Algebra 1
Name: Solving Linear Quadratic Systems Algebraically Algebra 1 Date: In this lesson we will begin to work with solving linear-quadratic systems of equations. Recall that to x, y that satisfy all equations
More informationCHAPTER 1 QUADRATIC FUNCTIONS AND FACTORING
CHAPTER 1 QUADRATIC FUNCTIONS AND FACTORING Big IDEAS: 1) Graphing and writing quadratic functions in several forms ) Solving quadratic equations using a variety of methods 3) Performing operations with
More informationName Class Date. Identify the vertex of each graph. Tell whether it is a minimum or a maximum.
Practice Quadratic Graphs and Their Properties Identify the verte of each graph. Tell whether it is a minimum or a maimum. 1. y 2. y 3. 2 4 2 4 2 2 y 4 2 2 2 4 Graph each function. 4. f () = 3 2 5. f ()
More informationStudent Name: End-of-Course Assessment. Algebra II. Algebra 2 Pre-Test
Student Name: End-of-Course Assessment Algebra II Algebra Pre-Test 1. What is the expanded form of. Which equation can be used to find the nth term for the sequence below?, 5, 10, 17,... t = n + 3 t =
More informationThe x-coordinate of the vertex: The equation of the axis of symmetry:
Algebra 2 Notes Section 4.1: Graph Quadratic Functions in Standard Form Objective(s): Vocabulary: I. Quadratic Function: II. Standard Form: III. Parabola: IV. Parent Function for Quadratic Functions: Vertex
More informationPractice Test Questions Multiple Choice Identify the choice that best completes the statement or answers the question.
Practice Test Questions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which set of data is correct for this graph? 5 y 4 3 1 5 4 3 1 1 1 3 4 5 x 3 4
More informationRELATIONS AND FUNCTIONS
RELATIONS AND FUNCTIONS Definitions A RELATION is any set of ordered pairs. A FUNCTION is a relation in which every input value is paired with exactly one output value. Example 1: Table of Values One way
More informationFLC Ch 1-3 (except 1.4, 3.1, 3.2) Sec 1.2: Graphs of Equations in Two Variables; Intercepts, Symmetry
Math 370 Precalculus [Note to Student: Read/Review Sec 1.1: The Distance and Midpoint Formulas] Sec 1.2: Graphs of Equations in Two Variables; Intercepts, Symmetry Defns A graph is said to be symmetric
More informationThe Method of Substitution. Linear and Nonlinear Systems of Equations. The Method of Substitution. The Method of Substitution. Example 2.
The Method of Substitution Linear and Nonlinear Systems of Equations Precalculus 7.1 Here is an example of a system of two equations in two unknowns. Equation 1 x + y = 5 Equation 3x y = 4 A solution of
More informationName Class Date. 3. Write an equation for the following description: y is three times the value of x.
Name Class Date Practice 5-2 Linear Equations: y = mx 5-2 Linear Equations: y = mx 1. The variable y has a proportional relationship with x as suggested by the graph. Use the graph to write an equation
More informationChapter Four Notes N P U2C4
Chapter Four Notes N P U2C4 Name Period Section 4.3: Quadratic Functions and Their Properties Recall from Chapter Three as well as advanced algebra that a quadratic function (or square function, as it
More informationCHAPTER 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.
More informationName: Period: SM Starter on Reading Quadratic Graph. This graph and equation represent the path of an object being thrown.
SM Name: Period: 7.5 Starter on Reading Quadratic Graph This graph and equation represent the path of an object being thrown. 1. What is the -ais measuring?. What is the y-ais measuring? 3. What are the
More informationMath 1101 Chapter 2 Review Solve the equation. 1) (y - 7) - (y + 2) = 4y A) B) D) C) ) 2 5 x x = 5
Math 1101 Chapter 2 Review Solve the equation. 1) (y - 7) - (y + 2) = 4y A) - 1 2 B) - 9 C) - 9 7 D) - 9 4 2) 2 x - 1 3 x = A) -10 B) 7 C) -7 D) 10 Find the zero of f(x). 3) f(x) = 6x + 12 A) -12 B) -2
More informationApril 12, S5.3q Logarithmic Functions and Graphs
MAT 171 Precalculus Algebra Dr. Claude Moore Cape Fear Community College CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3 Logarithmic Functions
More informationMATH 112 Final Exam Study Questions
MATH Final Eam Study Questions Spring 08 Note: Certain eam questions have been more challenging for students. Questions marked (***) are similar to those challenging eam questions.. A company produces
More informationIB MATH SL Test Review 2.1
Name IB MATH SL Test Review 2.1 Date 1. A student measured the diameters of 80 snail shells. His results are shown in the following cumulative frequency graph. The lower quartile (LQ) is 14 mm and is marked
More informationSECTION 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
More informationMAT 111 Final Exam Fall 2013 Name: If solving graphically, sketch a graph and label the solution.
MAT 111 Final Exam Fall 2013 Name: Show all work on test to receive credit. Draw a box around your answer. If solving algebraically, show all steps. If solving graphically, sketch a graph and label the
More informationMath 1325 Final Exam Review. (Set it up, but do not simplify) lim
. Given f( ), find Math 5 Final Eam Review f h f. h0 h a. If f ( ) 5 (Set it up, but do not simplify) If c. If f ( ) 5 f (Simplify) ( ) 7 f (Set it up, but do not simplify) ( ) 7 (Simplify) d. If f. Given
More informationALGEBRA GRADES 7-8. Do not open this booklet until instructed to do so. Mark your answer on the answer sheet by FILLING in the oval.
Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition ALGEBRA GRADES 7-8 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may NOT use calculators.
More informationChapter 7: Quadratic Equations
Chapter 7: Quadratic Equations Section 7.1: Solving Quadratic Equations by Factoring Terminology: Quadratic Equation: A polynomial equation of the second degree; the standard form of a basic equation is
More information3. Find the slope of the tangent line to the curve given by 3x y e x+y = 1 + ln x at (1, 1).
1. Find the derivative of each of the following: (a) f(x) = 3 2x 1 (b) f(x) = log 4 (x 2 x) 2. Find the slope of the tangent line to f(x) = ln 2 ln x at x = e. 3. Find the slope of the tangent line to
More informationTotal 100
MATH 111 Final Exam March 11, 2017 Name Signature Student ID # Section 1 9 2 13 3 10 4 12 5 14 6 13 7 13 8 16 Total 100 You are allowed to use a Ti-30x IIS Calculator, a ruler, and one hand-written 8.5
More informationDoug Clark The Learning Center 100 Student Success Center learningcenter.missouri.edu Overview
Math 1400 Final Exam Review Saturday, December 9 in Ellis Auditorium 1:00 PM 3:00 PM, Saturday, December 9 Part 1: Derivatives and Applications of Derivatives 3:30 PM 5:30 PM, Saturday, December 9 Part
More information( ) = 2 x + 3 B. f ( x) = x 2 25
PRACTICE - Algebra Final Exam (Semester 1) - PRACTICE 1. Which function contains only a vertical translation? A. f x ( ) = x + 3 B. f ( x) = x 5 C. f ( x) = 1( x 9) D. f ( x) = x + 4. Which function is
More informationAlgebra I Practice Exam
Algebra I This practice assessment represents selected TEKS student expectations for each reporting category. These questions do not represent all the student expectations eligible for assessment. Copyright
More informationUnit 6: Say It with Symbols
Unit 6: Say It with Symbols I can solve linear and quadratic equations using symbolic reasoning. A problem often requires finding solutions to equations. In previous Units, you developed strategies for
More informationUnit 1- Function Families Quadratic Functions
Unit 1- Function Families Quadratic Functions The graph of a quadratic function is called a. Use a table of values to graph y = x 2. x f(x) = x 2 y (x,y) -2-1 0 1 2 Verify your graph is correct by graphing
More information32. Use a graphing utility to find the equation of the line of best fit. Write the equation of the line rounded to two decimal places, if necessary.
Pre-Calculus A Final Review Part 2 Calculator Name 31. The price p and the quantity x sold of a certain product obey the demand equation: p = x + 80 where r = xp. What is the revenue to the nearest dollar
More informationSECTION 5.1: Polynomials
1 SECTION 5.1: Polynomials Functions Definitions: Function, Independent Variable, Dependent Variable, Domain, and Range A function is a rule that assigns to each input value x exactly output value y =
More informationOn Your Own. Applications. Unit 1. 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars.
Applications 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars. 2 t = 0.5 + 2a, where a represents the area of the grass and t represents the time in hours
More informationLine Graphs. 1. Use the data in the table to make a line graph. 2. When did the amount spent on electronics increase the most?
Practice A Line Graphs Use the table to answer the questions. U.S. Personal Spending on Selected Electronics Amount Spent Year ($billions, estimated) 1994 $71 1996 $80 1998 $90 2000 $107 1. Use the data
More informationCollege Algebra. Word Problems
College Algebra Word Problems Example 2 (Section P6) The table shows the numbers N (in millions) of subscribers to a cellular telecommunication service in the United States from 2001 through 2010, where
More informationAnswer Explanations SAT Practice Test #1
Answer Explanations SAT Practice Test #1 2015 The College Board. College Board, SAT, and the acorn logo are registered trademarks of the College Board. 5KSA09 Section 4: Math Test Calculator QUESTION 1.
More informationa. Bob: 7, Bridget: 4, Brian 1 b. Bob: 7, Bridget: 4, Brian 3 c. Bob: 7, Bridget: 14, Brian 3 a. 100 b. 150 c c. 2 d.
Period: Date: K. Williams 8th Grade Year Review: Chapters -4. A neighborhood pool charges $22 for a pool membership plus an additional $2 for each visit to the pool. If Elliot visited the pool 6 times,
More informationPreCalculus Practice Midterm
Practice Midterm PreCalculus 1 Name: Period: Date: Answer the following questions. 1. Define function. PreCalculus Practice Midterm 2. Describe the end behavior of any positive odd polynomial function
More informationCharacteristics of Quadratic Functions
. Characteristics of Quadratic Functions Essential Question What tpe of smmetr does the graph of f() = a( h) + k have and how can ou describe this smmetr? Parabolas and Smmetr Work with a partner. a. Complete
More informationSLCSE Math 1050, Spring, 2013 Lesson 1, Monday, January 7, 2013: Quadratic Functions
SLCSE Math 1050, Spring, 2013 Lesson 1, Monday, January 7, 2013: Quadratic Functions Note: The activities are to be done and discussed in class. Homework, due at 4 pm Monday, Jan 14, 2013 consists of all
More informationFinal Exam Study Guide
Algebra 2 Alei - Desert Academy 2011-12 Name: Date: Block: Final Exam Study Guide 1. Which of the properties of real numbers is illustrated below? a + b = b + a 2. Convert 6 yards to inches. 3. How long
More informationACTIVITY: Areas and Perimeters of Figures
4.4 Solving Two-Step Inequalities the dimensions of a figure? How can you use an inequality to describe 1 ACTIVITY: Areas and Perimeters of Figures Work with a partner. Use the given condition to choose
More informationChapter 5: Quadratic Equations and Functions 5.1 Modeling Data With Quadratic Functions Quadratic Functions and Their Graphs
Ch 5 Alg Note Sheet Ke Chapter 5: Quadratic Equations and Functions 5.1 Modeling Data With Quadratic Functions Quadratic Functions and Their Graphs Definition: Standard Form of a Quadratic Function The
More informationMATH 2070 Test 3 (Sections , , & )
Multiple Choice: Use a #2 pencil and completely fill in each bubble on your scantron to indicate the answer to each question. Each question has one correct answer. If you indicate more than one answer,
More informationSection 12.2 The Second Derivative
Section 12.2 The Second Derivative Higher derivatives If f is a differentiable function, then f is also a function. So, f may have a derivative of its own, denoted by (f ) = f. This new function f is called
More informationAnalyzing Lines of Fit
4.5 Analyzing Lines of Fit Essential Question How can you analytically find a line of best fit for a scatter plot? Finding a Line of Best Fit Work with a partner. The scatter plot shows the median ages
More informationIntermediate Algebra. 8.6 Exponential Equations and Change of Base. Name. Problem Set 8.6 Solutions to Every Odd-Numbered Problem.
8. Exponential Equations and Change of Base 1. Solving the equation: 3. Solving the equation: 3 x = 5 5 x = 3 x = ln5 x = ln5 ln5 x = x ln5 = x = ln5 1.450 x = ln5 0.82 5. Solving the equation: 7. Solving
More informationCalculators are allowed. Students may not share calculators.
Math 120 Final Examination Autumn 2002 Your Name Your Signature Student ID # Quiz Section Professor s Name TA s Name This exam is closed book. You may use one 8 1 11 sheet of notes. Students may not share
More informationThis activity makes up 20% of your final grade. It is marked out of 86.
MFM2P/MPM2D Name: Culminating Activity Root of Fun Theme Park This activity makes up 20% of your final grade. It is marked out of 86. The grade 10 math class took a trip to the Root of Fun Theme Park that
More informationMA Lesson 12 Notes Section 3.4 of Calculus part of textbook
MA 15910 Lesson 1 Notes Section 3.4 of Calculus part of textbook Tangent Line to a curve: To understand the tangent line, we must first discuss a secant line. A secant line will intersect a curve at more
More informationPRACTICE EXAM UNIT #6: SYSTEMS OF LINEAR INEQUALITIES
_ School: Date: /45 SCAN OR FAX TO: Ms. Stamm (Central Collegiate) stamm.shelly@prairiesouth.ca FAX: (306) 692-6965 PH: (306) 693-4691 PRACTICE EXAM UNIT #6: SYSTEMS OF LINEAR INEQUALITIES Multiple Choice
More informationQuadratics Unit 3 Tentative TEST date
1 U n i t 3 11U Date: Name: Quadratics Unit 3 Tentative TEST date Big idea/learning Goals This unit is mostly review from grade 10. However, you will apply function terminology as you describe domain,
More information7.5 Solving Quadratic Equations
7.5 Solving Quadratic Equations by Factoring GOAL Solve quadratic equations by factoring. LEARN ABOUT the Math The entry to the main exhibit hall in an art gallery is a parabolic arch. The arch can be
More informationSystems and Matrices CHAPTER 7
CHAPTER 7 Systems and Matrices 7.1 Solving Systems of Two Equations 7.2 Matrix Algebra 7.3 Multivariate Linear Systems and Row Operations 7.4 Partial Fractions 7.5 Systems of Inequalities in Two Variables
More information10-1: Composite and Inverse Functions
Math 95 10-1: Composite and Inverse Functions Functions are a key component in the applications of algebra. When working with functions, we can perform many useful operations such as addition and multiplication
More informationName Period Date Ch. 5 Systems of Linear Equations Review Guide
Reteaching 5-1 Solving Systems by Graphing ** A system of equations is a set of two or more equations that have the same variables. ** The solution of a system is an ordered pair that satisfies all equations
More informationWoodland Community College: Math Practice Test
Woodland Communit College: Math Practice Test Elementar Algebra Math Test The following problems are recommended practice problems for the elementar algebra section of the placement test. Some of the problems
More informationSemester One Review. FORMULAS Given on Exam! 3. What is the value of f(5), given the equation f(x) = x 2 4x + 1? Slope:
FORMULAS Given on Exam!. What is equivalent to A. -(x )? B. (x + ) (x + ). Evaluate: A. + 7 B. C.. D.. = i. 6.6 ii. 6.6 iii. 6 iv. 6 E. + F. 0 + G. 9. ( ) H. ( + ) + ( + ) I. ( ) + = J. 9x 0 + y (when
More informationTEST REVIEW QUADRATICS EQUATIONS Name: 2. Which of the following statements is true about the graph of the function?
Chapter MATHEMATICS 00 TEST REVIEW QUADRATICS EQUATIONS Name:. Which equation does not represent a quadratic function?. Which of the following statements is true about the graph of the function? it has
More informationSection 7.1 Objective 1: Solve Quadratic Equations Using the Square Root Property Video Length 12:12
Section 7.1 Video Guide Solving Quadratic Equations by Completing the Square Objectives: 1. Solve Quadratic Equations Using the Square Root Property. Complete the Square in One Variable 3. Solve Quadratic
More informationGrade 8. Functions 8.F.1-3. Student Pages
THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 8 Functions 8.F.1-3 Student Pages 2012 2012 COMMON CORE CORE STATE STATE STANDARDS ALIGNED ALIGNED MODULES Grade 8 - Lesson 1 Introductory Task
More informationChapter 4 Analyzing Change: Applications of Derivatives
Chapter 4 Analyzing Change: Applications of Derivatives Section 4.1 Approximating Change 1. 3% (4 percentage points per hour) 1 ( ) = 1 1 hour 30 % 3 3. 300 mph + (00 mph per hour) ( hour ) 316 3. f (3.5)
More informationMr. Gallo Algebra 2 1 2: PROPERTIES OF REAL NUMBERS. Real Number Review
Mr. Gallo Algebra 2 1 2: PROPERTIES OF REAL NUMBERS Real Number Review 1 Subsets of the Real Numbers Classifying Variables Example 1: What set of numbers would best describe the number of participants
More informationQuadratic Graphs and Their Properties
- Think About a Plan Quadratic Graphs and Their Properties Physics In a physics class demonstration, a ball is dropped from the roof of a building, feet above the ground. The height h (in feet) of the
More informationRate of Change and slope. Objective: To find rates of change from tables. To find slope.
Linear Functions Rate of Change and slope Objective: To find rates of change from tables. To find slope. Objectives I can find the rate of change using a table. I can find the slope of an equation using
More information3.1 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
More informationQuadratics in Factored Form Unit 2
1 U n i t 11C Date: Name: Tentative TEST date Quadratics in Factored Form Unit Reflect previous TEST mark, Overall mark now. Looking back, what can you improve upon? Learning Goals/Success Criteria Use
More informationIf x = 3, what is the value of 2x 2 + 5x?
Asha receives $10 000. Asha keeps half his money and gives the rest to Bertha. Bertha keeps half her money and gives the rest to Calvin. Calvin keeps half his money and gives the rest to Dane. Dane keeps
More informationPractice Ace Problems
Unit 5: Moving Straight Ahead Investigation 3: Solving Equations using tables and Graphs Practice Ace Problems Directions: Please complete the necessary problems to earn a maximum of 16 points according
More information6 th Grade - TNREADY REVIEW Q3 Expressions, Equations, Functions, and Inequalities
6 th Grade - TNREADY REVIEW Q3 Expressions, Equations, Functions, and Inequalities INSTRUCTIONS: Read through the following notes. Fill in shaded areas and highlight important reminders. Then complete
More informationMAC 2233, Survey of Calculus, Exam 3 Review This exam covers lectures 21 29,
MAC 2233, Survey of Calculus, Exam 3 Review This exam covers lectures 21 29, This review includes typical exam problems. It is not designed to be comprehensive, but to be representative of topics covered
More informationMath 11 - Systems of Equations and Inequalities
Name: Period: /30 ID: A Math 11 - Systems of Equations and Inequalities Multiple Choice Identify the choice that best completes the statement or answers the question. 1. (1 point) What system of equations
More informationMultiplying Polynomials. The rectangle shown at the right has a width of (x + 2) and a height of (2x + 1).
Page 1 of 6 10.2 Multiplying Polynomials What you should learn GOAL 1 Multiply two polynomials. GOAL 2 Use polynomial multiplication in real-life situations, such as calculating the area of a window in
More informationANSWERS, Homework Problems, Spring 2014 Now You Try It, Supplemental problems in written homework, Even Answers R.6 8) 27, 30) 25
ANSWERS, Homework Problems, Spring 2014, Supplemental problems in written homework, Even Answers Review Assignment: Precalculus Even Answers to Sections R1 R7 R.1 24) 4a 2 16ab + 16b 2 R.2 24) Prime 5x
More informationWorking with Quadratic Functions: Standard and Factored Forms
14 Chapter 3 Working with Quadratic Functions: Standard and Factored Forms GOALS You will be able to Epand and simplify quadratic epressions, solve quadratic equations, and relate the roots of a quadratic
More information10.7. Interpret the Discriminant. For Your Notebook. x5 2b 6 Ï} b 2 2 4ac E XAMPLE 1. Use the discriminant KEY CONCEPT
10.7 Interpret the Discriminant Before You used the quadratic formula. Now You will use the value of the discriminant. Wh? So ou can solve a problem about gmnastics, as in E. 49. Ke Vocabular discriminant
More informationThe University of British Columbia Final Examination - December 6, 2014 Mathematics 104/184 All Sections
The University of British Columbia Final Examination - December 6, 2014 Mathematics 104/184 All Sections Closed book examination Time: 2.5 hours Last Name First Signature MATH 104 or MATH 184 (Circle one)
More informationPrinted Name: Section #: Instructor:
Printed Name: Section #: Instructor: Please do not ask questions during this eam. If you consider a question to be ambiguous, state your assumptions in the margin and do the best you can to provide the
More informationLesson 8: Informally Fitting a Line
Classwork Example 1: Housing Costs Let s look at some data from one midwestern city that indicates the sizes and sale prices of various houses sold in this city. Size (square feet) Price (dollars) Size
More informationChapter 4. Systems of Linear Equations; Matrices. Opening Example. Section 1 Review: Systems of Linear Equations in Two Variables
Chapter 4 Systems of Linear Equations; Matrices Section 1 Review: Systems of Linear Equations in Two Variables Opening Example A restaurant serves two types of fish dinners- small for $5.99 and large for
More informationAdditional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property
Additional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property Solve the quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators.
More informationUnit 2. Quadratic Functions and Modeling. 24 Jordan School District
Unit Quadratic Functions and Modeling 4 Unit Cluster (F.F.4, F.F.5, F.F.6) Unit Cluster (F.F.7, F.F.9) Interpret functions that arise in applications in terms of a contet Analyzing functions using different
More informationx x 5, x no real solutions. x a. 103 feet. b seconds
BRIDGE TO ALGEBRA B. 0. 9 3. 40 4. 5. 6 6. 9 5 6 7. 4 8. 3 9. 0 0. 7. 5,. 5, 3. no real solutions 4. 3 5 4 5. a. 03 feet b. 5.3 seconds 6. a. There are two times when the ball is si feet above the ground.
More informationExponent Laws. a m a n = a m + n a m a n = a m n, a 0. ( ab) m = a m b m. ˆ m. = a m. a n = 1 a n, a 0. n n = a. Radicals. m a. n b Ë. m a. = mn.
Name:. Math 0- Formula Sheet Sequences and Series t n = t + ( n )d S n = n È t ÎÍ + ( n )d S n = n Ê Á t + t n ˆ t n = t r n Ê t r n ˆ Á S n =, r r S n = rt n t r, r S = t r, r Trigonometry Exponent Laws
More informationCALCULUS EXAM II Spring 2003
CALCULUS EXAM II Spring 2003 Name: Instructions: WRITE ALL WORK AND ALL ANSWERS ON THIS EXAM PAPER. For all questions, I reserve the right to apply the 'no work means no credit' policy, so make sure you
More informationPRINCIPLES OF MATHEMATICS 11 Chapter 2 Quadratic Functions Lesson 1 Graphs of Quadratic Functions (2.1) where a, b, and c are constants and a 0
PRINCIPLES OF MATHEMATICS 11 Chapter Quadratic Functions Lesson 1 Graphs of Quadratic Functions (.1) Date A. QUADRATIC FUNCTIONS A quadratic function is an equation that can be written in the following
More informationMTH 65-Steiner Exam #1 Review: , , 8.6. Non-Calculator sections: (Solving Systems), Chapter 5 (Operations with Polynomials)
Non-Calculator sections: 4.1-4.3 (Solving Systems), Chapter 5 (Operations with Polynomials) The following problems are examples of the types of problems you might see on the non-calculator section of the
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Linear equations 1 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) Find the slope of the line passing through the points (, -3) and (2, -1). 1)
More informationRP7-31 Using Proportions to Solve Percentage Problems I
RP-1 Using Proportions to Solve Percentage Problems I These are equivalent statements: 6 of the circles are shaded. of the circles are shaded. 6 is of. 6 : : part whole 1. Write four equivalent statements
More informationMATH 1020 TEST 1 VERSION A FALL 2018
MULTIPLE CHOICE: 62 points Use a #2 pencil and completely fill each bubble on your scantron to answer each multiple choice question. (For future reference, circle your answers on this test paper.) There
More informationChapter 2 Describing Change: Rates
Chapter Describing Change: Rates Section.1 Change, Percentage Change, and Average Rates of Change 1. 3. $.30 $0.46 per day 5 days = The stock price rose an average of 46 cents per day during the 5-day
More informationLecture 6: Sections 2.2 and 2.3 Polynomial Functions, Quadratic Models
L6-1 Lecture 6: Sections 2.2 and 2.3 Polynomial Functions, Quadratic Models Polynomial Functions Def. A polynomial function of degree n is a function of the form f(x) = a n x n + a n 1 x n 1 +... + a 1
More informationSect 2.4 Linear Functions
36 Sect 2.4 Linear Functions Objective 1: Graphing Linear Functions Definition A linear function is a function in the form y = f(x) = mx + b where m and b are real numbers. If m 0, then the domain and
More information2.3 Applications. 9. Let w represent the width and 2w represent the length. Using the perimeter formula:
2.3 Applications 1. Let w represent the width and 2w represent the length. Using the perimeter formula: 2w + 2 2w ( ) = 60 2w + 4w = 60 6w = 60 w = 10 The dimensions are 10 feet by 20 feet. 3. Let s represent
More informationQMI Lesson 3: Modeling with Functions
QMI Lesson 3: Modeling with Functions C C Moxley Samford University Brock School of Business Mathematical Models A mathematical model helps answer problems that arise from real-world situations. Creating
More informationMitesh is m years old, and his brother Hiren is h years old. Which statement best describes the inequality m h + 3?
Objective 1 - Page 1 of 5 The initial pressure inside a closed container is 00 pounds per square inch (psi). As the temperature inside the container increases, the pressure increases. If the pressure increases.5
More information3 2 (C) 1 (D) 2 (E) 2. Math 112 Fall 2017 Midterm 2 Review Problems Page 1. Let. . Use these functions to answer the next two questions.
Math Fall 07 Midterm Review Problems Page Let f and g. Evaluate and simplify f g. Use these functions to answer the net two questions.. (B) (E) None of these f g. Evaluate and simplify. (B) (E). Consider
More informationA) Graph the data on the scatter plot and draw a line of best fit for the data. FLOWER SALES Sales
10. The table below shows the sales for a flower company for the years 2007 through 2012. Answer the given questions about this table on your answer sheet. A) Graph the data on the scatter plot and draw
More information