3.03 Define and distinguish between relations and functions, dependent and independent variables, domain and range.
|
|
- Harry Thomas
- 6 years ago
- Views:
Transcription
1 3.03 Define and distinguish between relations and functions, dependent and independent variables, domain and range. A. These sports utility vehicles were listed in the classified section of the newspaper recently $21, $19, , , , , , , , , , , , , , , ,980 Which is the independent quantity, age or price? Are there other independent variables associated with the price of used SUVs? What are the realistic domain and range of the data? Does this set of data represent a function? Why? (4.02) Is there a general pattern to the data? Does the data exhibit a linear relationship? Explain. B. In July 2004 the Credit Union set the rate for the certificates of deposit (CD). A certificate of deposit is a savings plan that guarantees a fixed rate of return for a specified length of time, provided there are no withdrawals. Certificates of Deposit (CD) Interest Rate 6 Month Certificate Month Certificate Month Certificate Month Certificate Month Certificate Month Certificate Month Certificate Month Certificate 4.50 Does the CD information provided represent a function? Why? Identify the independent and dependent quantities. Are there other independent variables affecting the data? What are they? What are the domain and range of the relation? Are there realistic boundaries to the domain and range that are not shown? Algebra I Indicators p. 9
2 C. According to the internet ratings report for July 2000 from Nielsen/NetRatings, 52% of the home population have internet access and 32% of the home population surfed the Web in July. Nearly 144 million people in the U.S. had access to the internet from home, compared to million a year ago in July Lower prices for personal computers, inexpensive internet access, and competitive rates for high-speed internet access are reasons cited for the expanding access. Identify the independent and dependent variables associated with the internet ratings report. Are there other independent variables? What are they? What are the domain and range of the relation? Are there realistic boundaries to the domain and range that are not identified? Algebra I Indicators p. 10
3 3.04 Graph and interpret in the context of the problem, relations and functions on the coordinate plane. Include linear equations and inequalities, quadratics, and exponentials $ A. These compact cars were listed in the classified section of the newspaper recently. What are the independent variables associated with the price of used compact cars? What are the realistic domain and range of the data? Does this set of data represent a function? Why? Describe the data with respect to its graph. Is there a general pattern to the data? Does the data exhibit a linear relationship? Explain. B. One of the more important natural resources we have in the United States is petroleum. The equation P = -0.68Y is a linear model for the size of the petroleum reserves in the US. P is proven petroleum reserves in billions of barrels and Y is the number of years since the first commercial oil well was drilled (1859). Graph the relationship for the years since your birth. C. The function f(x) = (0.7475) (x-1) describes the winnings per player in the 2000 PGA Championship Golf Tournament according to a player's place (x) in the final standings. Describe the function as it would appear graphed. (3.12) If the minimum payout is $1000, how many places will receive money? Algebra I Indicators p. 11
4 3.05 Determine and use slopes of linear relationships to solve problems. a) Find the slope of a line given the graph of the line, an equation of the line, or two points on the line. b) Describe the slope of the line in the context of a problem situation. A. Suppose the value of a new car declines linearly over a ten-year period from the original value of $16,000 to the value of $1,500. What is the value of the car after six years? B. The number of licensed pilots in the United States has grown from 622,000 in 1996 to 640,000 in Assuming a constant annual increase in the number of pilots, how many pilots could we expect to have by 2002? Give the algebraic model for this growth. C. In 1998 there were 429,316 people employed in the United States as computer support specialists. According the Bureau of Labor Statistics, that number is expected to grow to 868,674 by Assuming a constant annual increase in the number of specialists, what is the number in 2006? Give the algebraic model for this growth. D. Nationally, the unemployment rate for teenagers (ages 16-19) seeking work dropped from a high of 16.1% in 1979 to a rate of 13.9% in For the same young people in North Carolina, the unemployment rate dropped from 18.3% in 1993 to 9.6% in How does the change in unemployment rates for teenagers compare between North Carolina and the nation? E. Students at a local university will see their student fees increase from $814 in 1997 to $842 in How much will students be paying in 2001? If this is a linear trend, what is the slope of an equation which describes the growth in fees? F. The percent of Americans with at least four years of high school education is shown in the chart. (4.03) Determine a linear best-fit equation (let 1940 be x = 0). Define the slope of the line with respect to the data. What are the variables that affect the number of people completing high school? How have those variables changed or modified since 1940? Algebra I Indicators p. 12
5 3.06 Write the equation of and graph linear relationships given relevant information: a) Slope and y-intercept b) Slope and one point on the line c) Two points on the line A. The natural gas company computes a monthly statement based on a rate of $ per hundred cubic feet of gas and a $7.74 facilities charge. The February statement is $ How much gas was used? B. According to an internet ratings report from Nielsen/NetRatings, nearly 144 million people in the U.S. had access to the internet from home in July 2000, compared to million a year earlier. Assuming the growth in internet access is linear, when (month and year) should every American have access to the internet? C. The Euro, the common European currency, converted to $ at the beginning of the year. Two months later the currency was worth $ Create a linear equation and estimate the value of a Euro at the end of the year. (1.01d, 3.06) How many more Euros can you buy for $500 at the end of the year? D. Between 1980 and 2000, the price of a pound of apples increased $0.019 per year. The price of a pound of apples in 1980 was $ Create a realistic algebraic model of the situation and estimate prices for the next five years. How realistic are your predictions? Explain. Algebra I Indicators p. 13
6 3.07 Investigate and determine the effects of changes in slope and intercepts on the graph and equation of a line. a) Change only slope. b) Change only the x- or y-intercept. c) Change the slope and an intercept. A. For the line y = 3x + 5: If the y-intercept moves to 7 and the slope remains unchanged, how does the x-intercept change? B. For the line y = ax + b where a>0 and b>0: If b increases and a remains constant, how does the x-intercept change? What happens to the line? If a increases and b remains constant, how does the x-intercept change? If b is multiplied by 1 and a remains constant, how does the line change? If a decreases, getting closer to 0, and b remains constant what happens to the line? C. Consider the lines y 1 = 1.5x and y 2 = (1.5x + 7.3) 6. How is y 2 different from y 1? How are the two lines similar? D. Consider the line y = ax + b. What changes when y = (ax + b) + 3? Identify similarities and differences between the two lines. E. Consider the lines y 1 = 0.95x 2 and y 2 = 0.95(x + 3) 2. How is y 2 different from y 1? How are the two lines similar? F. Consider the line y = ax + b. What changes when y = a(x 2.5) + b? Identify similarities and differences between the two lines. G. Consider the lines y 1 = 4x + 11 and y 2 = -4x How is y 2 different from y 1? How are the two lines similar? H. Consider the line y = ax + b. What changes when y = -ax + b? Identify similarities and differences between the two lines. I. Consider the lines y 1 = 0.5x and y 2 = 2(0.5x) How is y 2 different from y 1? How are the two lines similar? J. Consider the line y = ax + b. What changes when y = 3.1(ax) + b? Identify similarities and differences between the two lines. K. Consider the lines y 1 = 1.25x and y 2 = 3(1.25x ). How is y 2 different from y 1? How are the two lines similar? L. Consider the line y = ax + b. What changes when y = 1.66(ax + b)? Identify similarities and differences between the two lines. Algebra I Indicators p. 14
7 M. For y = -2.5x + 8: If the slope increases and the x-intercept remains constant, how does the y-intercept change? N. For the line y = ax + b where a<0 and b>0: If the slope increases and the x-intercept remains constant, how does the y-intercept change? If b increases and the x-intercept remains constant, how does the slope change? If a is multiplied by 1 and b remains constant, how does the x-intercept change? If a and b are multiplied by 2, how does the x-intercept change? O. For the years , the equation y = 6.25x represents the number of VCRs owned (in millions). For years , y = 3.2x represents the number of VCRs owned (in millions). In both equations, x represents the number of years since Discuss the changes in growth of VCR ownership described in the linear models. P. United Gameware is a company that makes games for PCs. For the last five years the equation y = 3.25x modeled the growth in value of the company s stock. $10.75 was the initial offering price, $3.25 is the average annual change in value of the stock, x is the number of years since the initial offering, and y is the value of the stock. A competitor, FedGames, issued its stock with the same initial value but only grew $1.95 a year in value. What would FedGames linear model look like? After five years which company s stock is worth more? by how much? After the fifth year suppose United Gameware began losing $0.85 per year in value. What would the linear equation look like then? Algebra I Indicators p. 15
8 3.08 Use linear equations or inequalities to solve problems. Solve by: a) Graphing. b) Using properties of equality; justify steps used. A. In 1990, US exports by North Carolina agriculture and industries were worth $8.01 billion. By 1997, exports from North Carolina had increased to $ billion. Assuming the growth in exports has been linear, (3.06) create an algebraic model of this growth. (3.05) What is the average annual growth in exports for the period? If North Carolina s exports continue to grow according to the model, when will the value reach $21 billion? (3.04) According to the model, prior to what year were there no exports? B. The power company uses two different rates to calculate a monthly power bill: For July-October, the basic customer charge is $6.75 plus $ per kilowatt-hour. For November-June, the basic customer charge is $6.75 plus $ per kilowatt-hour. 3% North Carolina sales tax is added for the final charge. If the May and September bills are both $127, what is the difference in the amount of power (kilowatt-hours) used each month? C. In football, the place kicker can score points two different ways. He can score 3 points with a field goal or 1 point with a point-after-touchdown (PAT). The coach expects his kicker to score at least 50 points during the season. (3.04) Construct the algebraic expression that represents the situation. Illustrate graphically how many field goals and PATs the kicker could score. D. A basketball player scored 20 points, including 3 free throws. How many 3-point field goals did she score? E. At the mid-season break, the Red Sox had won 45 out of the 85 games they had played. If the Red Sox win 55% of their remaining games (162 games in a season), how many games will they have won by the end of the season? If the Red Sox are to win 100 games, what is the smallest winning percentage they can have to accomplish this? Algebra I Indicators p. 16
9 3.09 Use systems of linear equations or inequalities in two variables to solve problems. Determine the solution by: a) Graphing. b) Substitution. c) Elimination. A. During the band s fruit sale, five dozen oranges cost as much as four dozen grapefruits. Terry bought two dozen oranges and a dozen grapefruit, spending $ What was the cost of a dozen oranges? B. The bill for a lunch of three hamburgers and two drinks is $9.67. The bill for a lunch of four hamburgers and three drinks is $ What is the total cost of one hamburger and one drink? C. For a special order, the Coverup Company manufactured 1200 shirts. Sweatshirts were priced at $14 each and T-shirts at $8 each. The company received a total of $11,400 for the shirts. How many of each type of shirt did the Coverup Company manufacture for this order? D. A movie theater charges $7 for an adult s ticket and $4.50 for a child s ticket. On a recent night, the sale of child s tickets was three times the sale of adult s tickets. If the total amount collected for ticket sales was $2,009, how many adults purchased tickets? E. A certificate of deposit (CD) is a savings plan that guarantees a fixed rate of return for a specified length of time, provided there are no withdrawals. Rutherford Central Bank is currently using the function R = 0.018m (R is the interest rate and m is the length of the CD in months) to set the rates for its CDs. Matthews Federal Credit Union uses the function R =.009m to set its interest rates. For which CDs does each banking institution offer the better rate? F. Nationally, the unemployment rate for teenagers (ages 16-19) seeking work dropped from a high of 16.1% in 1979 to a rate of 13.9% in For the same young people in North Carolina, the unemployment rate dropped from 18.3% in 1993 to 9.6% in How long has the unemployment rate for teenagers in North Carolina been better than the national rates? Algebra I Indicators p. 17
10 3.10 Graph quadratic functions. a) Locate the intercepts and the vertex. b) Recognize the x-intercepts of the function as the solutions of the equation. A. The function f(x) = x x describes the monthly price of gasoline for a recent 18-month period. At what month did the prices reach their peak? Assuming the function continues to model gasoline prices, how long will it be until the price returns to its initial value of $1.179 per gallon? B. The function f(x) = 0.194x x + 18 models the value of a share of stock in a computer camera company for a recent 12-month period. What was the lowest price of the camera stock? What was the greatest price for the 12-month period? If the function continues to accurately model the value of the stock, will the stock ever double its initial value of $18? When? C. The space shuttle uses solid rocket boosters (SRB) during the launch phase of its flight from Cape Canaveral. The SRBs burn for about two minutes, shut down, detach from the main rocket assembly, and fall back to Earth 140 miles downrange. Parachutes assist the ocean landing, beginning at an altitude of 20,000 feet. The SRBs are recovered and used again for a later launch. The function f(x) = x x 2, for x 115.5, describes the altitude (in miles) of the shuttle s SRBs since the launch (x is elapsed time in seconds). How long after launch do the SRBs splashdown? The SRBs separate from the shuttle after seconds. (3.11) How much longer do the SRBs continue to gain altitude? D. The United States annual trade balance with Mexico is modeled by the function f(x) = 2.75x x for the period (x = 0 for 1994). When f(x) > 0, the value of American exports exceeds imports from Mexico. According to the model, when is trade with Mexico in balance (f(x) = 0)? Algebra I Indicators p. 18
Part 5: Math. Chapter 28: Numbers, Arithmetic, and Number Sense ( ) +? Questions. Bonus Chapter
Bonus Chapter Chapter 28: Numbers, Arithmetic, and Number Sense Questions 1. The speed of light is about 186,000 miles per second. A light year is the distance light travels in a year. What is the approximate
More informationAnswers for the lesson Plot Points in a Coordinate Plane
LESSON 3.1 Answers for the lesson Plot Points in a Coordinate Plane Skill Practice 1. 5; 23 2. No; the point could lie in either Quadrant II or Quadrant IV. 3. (3, 22) 4. (, 21) 5. (4, 4) 6. (24, 3) 7.
More informationLesson 11: Linear Functions, Part 2
Lesson 11 continues the study of linear functions. In this lesson, we look at how to write linear equations in slope-intercept and general form and applications where these may be used. We also look at
More information1Solve linear. 2Solve linear. Then. Now. Why?
Solving Multi-Step Inequalities Then You solved multistep equations. (Lesson 2-3) Now 1Solve linear inequalities involving more than one operation. 2Solve linear inequalities involving the Distributive
More informationUnit 11: Linear Equations and Inequalities
Section 11.1: General Form ax + by = c Section 11.2: Applications General Form Section 11.3: Linear Inequalities in Two Variables Section 11.4: Graphing Linear Inequalities in Two Variables KEY TERMS AND
More informationAlgebra 1 Online:
Dear Algebra 2 Students, Within this packet you will find mathematical concepts and skills learned in Algebra 1 that are the foundation from which Algebra 2 is built. These concepts need to be reviewed
More informationPractice A. Solving Inequalities by Adding or Subtracting. Solve. Then match each solution set with its graph. 1. r 1 2 A. 2. m 3 6 B. 3. x 4 1 C.
Practice A Solving Inequalities by Adding or Subtracting Solve. Then match each solution set with its graph. 1. r 1 2 A. 2. m 3 6 B. 3. x 4 1 C. 4. k 2 5 D. Solve. Check each answer. 5. a 7 2 6. h 9 3
More informationIs It Getting Hot in Here?
Lesson.1 Skills Practice Name Date Is It Getting Hot in Here? Modeling Data Using Linear Regression Vocabulary Choose the term that best completes each sentence. linear regression line of best fit linear
More informationAssignment 15 Per/Sec. Date. Use pencil to complete this assignment. Show work for all of your answers.
6th Grade Math Name Assignment 15 Per/Sec. Date Use pencil to complete this assignment. Show work for all of your answers. 1. Ariel is allowed to throw out her lowest score. Missing scores count as zero
More informationAlgebra I Semester Practice Final
Name: Algebra I Semester Practice Final 2016-17 Per: Please note: Absolutely no cell phones out during the test. You may borrow a calculator from the teacher, but you may not use a calculator another student
More informationMATH 021 TEST 2 REVIEW SHEET
TO THE STUDENT: MATH 021 TEST 2 REVIEW SHEET This Review Sheet gives an outline of the topics covered on Test 2 as well as practice problems. Answers for all problems begin on page 8. In several instances,
More informationAccuplacer Math Packet
College Level Math Accuplacer Math Packet 1. 23 0 2. 5 8 5-6 a. 0 b. 23 c. 1 d. None of the above. a. 5-48 b. 5 48 c. 5 14 d. 5 2 3. (6x -3 y 5 )(-7x 2 y -9 ) a. 42x -6 y -45 b. -42x -6 y -45 c. -42x -1
More informationModeling with Linear Functions
OpenStax-CNX module: m49326 1 Modeling with Linear Functions OpenStax College OpenStax College Precalculus This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License
More information4.2 modeling WITh linear FUnCTIOnS
SECTION 4.2 modeling with linear functions 3 0 9 learning ObjeCTIveS In this section, you will: Build linear models from verbal descriptions. Model a set of data with a linear function. 4.2 modeling WITh
More informationSolving Two-Step Inequalities
Practice A Solving Two-Step Inequalities Solve and graph each inequality. 1. 3x + 4 < 13 2. 2x 5 > 3 _ 3. x + 2 4 1 4. x + 6 3 < 2 _ 5. 9x + 8 35 6. x 5 7 < 6 _ 7. Maria works for a magazine, and she wants
More information3.4 and 4.3 Explain Graphing and Writing Linear Equations in Standard Form - Notes
3.4 and 4.3 Explain Graphing and Writing Linear Equations in Standard Form - Notes Essential Question: How can you describe the graph of the equation Ax + By = C? How can you write the equation of a line
More information2. Three times Antonio s age plus five times Sarah s age equals 43. Sarah s age is also eight times Antonio s age. How old is Sarah?
Name: Block: Date: Study Guide 1. The math club sells candy bars and drinks during football games. 50 candy bars and 100 drinks will sell for $275. 130 candy bars and 80 drinks will sell for $265. How
More informationWS Stilwell Practice 6-1
Name Date Pd WS Stilwell Practice 6-1 Write each ratio in three different ways. Write your answer in simplest form. 1) 2) triangles to total circles to triangles 3) 4) all figures to circle triangles to
More informationAlgebra I Common Assessment # 4 Printable Version
1. Two linear equations are given below. Exactly how many solutions does this system of equations have? 2. no solution two solutions one solution infinite solutions Look at this system of equations. What
More informationNOTES: Chapter 6 Linear Functions
NOTES: Chapter 6 Linear Functions Algebra 1-1 COLYER Fall 2016 Student Name: Page 2 Section 6.1 ~ Rate of Change and Slope Rate of Change: A number that allows you to see the relationship between two quantities
More informationUNIT 4 Math 621. Forms of Lines and Modeling Using Linear Equations
UNIT 4 Math 621 Forms of Lines and Modeling Using Linear Equations Description: This unit focuses on different forms of linear equations. Slope- intercept, point-slope and standard forms are introduced.
More informationFinal Review. 1. On a number line, what is the distance between -9 and 6?
Name Final Review 1. On a number line, what is the distance between -9 and 6? 2. A leak in a pipe is dispensing 8 ¾ gallons in 2 ½ minutes. What is the rate/minute? 3. Compare the measures of central tendency
More informationCoordinate Algebra 1 Common Core Diagnostic Test 1. about 1 hour and 30 minutes for Justin to arrive at work. His car travels about 30 miles per
1. When Justin goes to work, he drives at an average speed of 55 miles per hour. It takes about 1 hour and 30 minutes for Justin to arrive at work. His car travels about 30 miles per gallon of gas. If
More informationEureka Math. Grade 7, Module 4. Student File_B. Contains Sprint and Fluency, Exit Ticket, and Assessment Materials
A Story of Ratios Eureka Math Grade 7, Module 4 Student File_B Contains Sprint and Fluency, Exit Ticket, and Assessment Materials Published by the non-profit Great Minds. Copyright 2015 Great Minds. No
More informationMath 8 Levels II & III. For each problem, write a let statement, write and solve an equation, and answer the question.
Math 8 Levels II & III Word Problems Name Date Section For each problem, write a let statement, write and solve an equation, and answer the question. Integers: 1. When twice a number is increased by 3,
More informationMATH FCAT PRACTICE (Grade 10, Lesson 6, Part A)
MATH FCAT PRACTICE (Grade 10, Lesson 6, Part A) 1. Semicircles are constructed on the sides of an equilateral triangle, as shown in the figure above. Of the following, which best approximates the sum of
More informationName: Period: Date: 1. Which of the following graphs does not represent. 2. It is given that. What is A. B. C. D.
Name: Period: Date: 1. Which of the following graphs does not represent as a function of? 2. It is given that,, and. What is? Page 1 of 21 3. Which of the following are the domain and range for the graph
More informationPROPORTIONAL VERSUS NONPROPORTIONAL RELATIONSHIPS NOTES
PROPORTIONAL VERSUS NONPROPORTIONAL RELATIONSHIPS NOTES Proportional means that if x is changed, then y is changed in the same proportion. This relationship can be expressed by a proportional/linear function
More informationTone-Up Tuesday #4 Linear Equations and Inequalities Due Date: 3/24/15 Probs per night: ~1 2. Rate of Change
Tone-Up Tuesday #4 Name: Linear Equations and Inequalities Due Date: 3/24/15 Probs per night: ~1 2 Rate of Change 1. Paula has to read a novel for her English class. The graph below represents the number
More informationAdditional Practice. Name Date Class. 1. Estimate the numbers represented by points A E. 2. Graph the following numbers on the number line below.
Additional Practice Investigation 1 1. Estimate the numbers represented by points A E. A B C D E 6 4 2 0 2 4 6 2. Graph the following numbers on the number line below. 1 4 a. - 2 b. 4 c. - 5.5 d. 2 7 2
More informationSection 6.3: Factored Form of a Quadratic Function
Section 6.3: Factored Form of a Quadratic Function make the connection between the factored form of a quadratic and the x-intercepts of the graph Forms of a Quadratic Function (i) Standard Form (ii) Factored
More informationMath 65A Elementary Algebra A Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 3 5, and Chapter 3, Sections 1-3
Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 5, and Chapter, Sections 1 - Exam II will be given on Thursday, April 10. You will have the entire class time for the exam. It will cover Chapter 2, Sections
More informationSect 4.5 Inequalities Involving Quadratic Function
71 Sect 4. Inequalities Involving Quadratic Function Objective #0: Solving Inequalities using a graph Use the graph to the right to find the following: Ex. 1 a) Find the intervals where f(x) > 0. b) Find
More informationAP* Environmental Science Grappling with Graphics & Data
Part I: Data, Data Tables, & Graphs AP* Environmental Science Grappling with Graphics & Data You will be asked construct data sets and graphs from data sets as well as to interpret graphs. The most common
More informationIndividual Test - Grade 5
2003 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 5 The first 10 problems are
More informationStandardized Tasks. Seventh Grade. Four identical triangles are arranged inside a rectangle as shown. The figure is not drawn to scale.
Standardized Tasks Seventh Grade Problem 1 (from NCTM: Mathematics Assessment Sampler) Objective 5.04 Develop fluency in the use of formulas to solve problems Four identical triangles are arranged inside
More informationStudy Guide For use with pages
3.1 GOAL For use with pages 119 124 Solve two-step equations. EXAMPLE 1 Using Subtraction and Division to Solve Solve 14 x 12 54. Check your solution. 14x 12 54 Write original equation. 14x 12 12 54 12
More informationIndividual 5 th Grade
5 th Grade Instructions: Problems 1 10 are multiple choice and count towards your team score. Bubble in the letter on your answer sheet. Be sure to erase all mistakes completely. 1. Which of the following
More informationKansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 6
Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 15 minutes You may use calculators
More informationGRAPHS IN ECONOMICS. A p p e n d i x 1. A n s w e r s t o t h e R e v i e w Q u i z. Page 28
A p p e n d i x 1 GRAPHS IN ECONOMICS A n s w e r s t o t h e R e v i e w Q u i z Page 28 1. Explain how we read the three graphs in Figs. A1.1 and A1.2. The points in the graphs relate the quantity of
More informationThis is Appendix A: Graphs in Economics, appendix 1 from the book Economics Principles (index.html) (v. 1.0).
This is Appendix A: Graphs in Economics, appendix 1 from the book Economics Principles (index.html) (v. 1.0). This book is licensed under a Creative Commons by-nc-sa 3.0 (http://creativecommons.org/licenses/by-nc-sa/
More informationLinear Functions Review
Name: Period: Date: 1. Which of the following graphs does not represent as a function of? 2. Kelly will enclose her rectangular tomato garden with 32 feet of fencing material. She wants the length of the
More informationUnit 5: Graphs. Input. Output. Cartesian Coordinate System. Ordered Pair
Section 5.1: The Cartesian plane Section 5.2: Working with Scale in the Cartesian Plane Section 5.3: Characteristics of Graphs Section 5.4: Interpreting Graphs Section 5.5: Constructing good graphs from
More informationTHE ALGEBRA III MIDTERM EXAM REVIEW Name. This review MUST be turned in when you take the midterm exam
THE ALGEBRA III MIDTERM EXAM REVIEW Name This review MUST be turned in when you take the midterm exam ALG III Midterm Review Solve and graph on a number line. 1. x 6 14. 3x 1 5x 14 3. 4(x 1) (4x 3) Find
More informationMason Prep Algebra Summer Math Calendar
Mason Prep Algebra Summer Math Calendar What students need to do: First, take a look at the list of activities to get an overview of what you ll need to do. Some are a little more involved than others.
More informationReview for Mastery. Identifying Linear Functions
Identifying Linear Functions You can determine if a function is linear by its graph, ordered pairs, or equation. Identify whether the graph represents a linear function. Step 1: Determine whether the graph
More informationUnit 11: Linear Equations
Section 11.1: General Form: ax + by = c Section 11.2: Applications General Form Section 11.3: Point-Slope Form: y y 1 = m(x x 1 ) KEY TERMS AND CONCEPTS Look for the following terms and concepts as you
More informationName: Date: Algebra X-Box Word Problems. Name: Teacher: Pd:
Name: Date: Algebra 2011-2012 X-Box Word Problems Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Solve Word Problems by Converting into an Algebraic Equation. Pgs:1-5 HW: Pgs:6-8 DAY 2: SWBAT: Solve
More informationCCS Algebra I Assessment Test 1B Name Per
CCS Algebra I Assessment Test 1B Name Per Do this test carefully showing all of your work and, in the case of multiple choice items, filling in the circle of the letter of the correct response. Note which
More informationCountdown to TAKS. Name GO ON. 4 Which fraction is not equivalent to 0.75? 1 Of the numbers 3 5, 5 8, 7. , and 0.58, which is the greatest?
Of the numbers,, 7, and 0., 0 which is the greatest? A 7 0 C 0. D Which fraction is not equivalent to 0.7? F G H 9 Countdown to TAKS TAKS Objective For a biology project, Aaron measured the lengths in
More informationHow can you use a linear equation in two variables to model and solve a real-life problem?
2.7 Solving Real-Life Problems How can ou use a linear equation in two variables to model and solve a real-life problem? EXAMPLE: Writing a Stor Write a stor that uses the graph at the right. In our stor,
More informationIncoming Advanced Grade 7
Name Date Incoming Advanced Grade 7 Tell whether the two fractions form a proportion. 1. 3 16, 4 20 2. 5 30, 7 42 3. 4 6, 18 27 4. Use the ratio table to find the unit rate in dollars per ounce. Order
More informationChapter 7 Graphing Equations of Lines and Linear Models; Rates of Change Section 3 Using Slope to Graph Equations of Lines and Linear Models
Math 167 Pre-Statistics Chapter 7 Graphing Equations of Lines and Linear Models; Rates of Change Section 3 Using Slope to Graph Equations of Lines and Linear Models Objectives 1. Use the slope and the
More informationStudent-Built Glossary
7 NAME DATE PERIOD Student-Built Glossary This is an alphabetical list of new vocabulary terms you will learn in Chapter 7. As you study the chapter, complete each term s definition or description. Remember
More informationSection 1.3. Slope formula: If the coordinates of two points on the line are known then we can use the slope formula to find the slope of the line.
MATH 11009: Linear Functions Section 1.3 Linear Function: A linear function is a function that can be written in the form f(x) = ax + b or y = ax + b where a and b are constants. The graph of a linear
More informationRational Numbers Station Review
Rational Numbers Station Review Directions: 1. Make one copy of each Rational Numbers Station Review pages (Stations #1 #12). 2. Make one copy of the Rational Numbers Station Review Answer Sheet per student.
More informationUp and Down or Down and Up
Lesson.1 Assignment Name Date Up and Down or Down and Up Exploring Quadratic Functions 1. The citizens of Herrington County are wild about their dogs. They have an existing dog park for dogs to play, but
More informationG6-M3-Lesson 7: Ordering Integers and Other Rational Numbers
G6-M3-Lesson 7: Ordering Integers and Other Rational Numbers 1. In the table below, list each set of rational numbers in order from least to greatest. Then, list their opposites. Finally, list the opposites
More informationThe Home Depot Algebra Project. St. Peter Algebra 2016
The Home Depot Algebra Project St. Peter Algebra 2016 The following project will be done in conjunction with Chapter 3 (pp. 146-217). Please follow all guidelines and complete all assignments. Follow the
More informationLesson 1: Understanding Proportional. Relationships
Unit 3, Lesson 1: Understanding Proportional Relationships 1. Priya jogs at a constant speed. The relationship between her distance and time is shown on the graph. Diego bikes at a constant speed twice
More informationSummer Assignment for AP Environmental Science
Summer Assignment for AP Environmental Science 1. Reading Writing Critically about Environmental Science Issues Read The Ghost Map and write a paper in which you focus on: How the water supply and delivery
More informationMERRY MIX-UP FOR DECEMBER!
1. Explain why 4 x 2 3 is the same as adding2 3 + 2 3 + 2 3 + 2 3. 2. A rectangular flag has an area of 3 square feet. Four-fifths of the flag is red and 1 of the flag is blue. What is the area of the
More informationAlgebra 1 2 nd Six Weeks
Algebra 1 2 nd Six Weeks Second Six Weeks October 6 November 14, 2014 Monday Tuesday Wednesday Thursday Friday October 6 B Day 7 A Day 8 B Day 9 A Day 10 B Day Elaboration Day Test 1 - Cluster 2 Test Direct
More informationT- Shirt Company Project
T- Shirt Company Project Problem: Some friends think you should start a t- shirt company. You do some research into the costs you would have. You find a screen printer to purchase on Craig s List for $50.
More information2009 Grade 6 Tennessee Middle/Junior High School Mathematics Competition 1
2009 Grade 6 Tennessee Middle/Junior High School Mathematics Competition 1 1. A rock group gets 30% of the money from sales of their newest compact disc. That 30% is split equally among the 5 group members.
More informationore C ommon Core Edition APlgebra Algebra 1 ESTS RACTICE PRACTICE TESTS Topical Review Book Company Topical Review Book Company
C ommon Core ommon Edition C ore Edition Algebra 1 APlgebra 1 T RACTICE ESTS Answer Keys PRACTICE TESTS Topical Review Book Company Topical Review Book Company TEST 1 Part I 1. 3 5. 2 9. 4 13. 1 17. 4
More informationPellissippi State Middle School Mathematics Competition
Grade 6 1 Pellissippi State 2009 Middle School Mathematics Competition Sponsored by: Oak Ridge Associated Universities Eighth Grade Scoring Formula: 4R W + 30 Directions: For each problem there are 5 possible
More informationSixth Grade Spiraling Review Week 1 of Second Six Weeks
Week 1 of Second Six Weeks Day 1 Scott bought fruit for a baseball tournament. The table shows the amount of each type of fruit he bought. Type of Fruit Peaches Apples Bananas Oranges Amount (lb) 3 5 19
More informationChapter Test A For use after Chapter 2
Chapter Test A For use after Chapter Evaluate the epression. 1. (18 9) 11. 8( )(5) 3. 1. 4.7 1.5 4. t 4 17 5. 8 c ( 10) 6. 4(6) Identify the property that the statement illustrates. 7. 10 3 3 ( 10) 8.
More informationOhio s State Tests PRACTICE TEST ALGEBRA I. Student Name
Ohio s State Tests PRACTICE TEST ALGEBRA I Student Name The Ohio Department of Education does not discriminate on the basis of race, color, national origin, sex, religion, age, or disability in employment
More informationIdentify a pattern then use it to predict what happens next:
MGF 1106 1.1 Inductive and Deductive Reasoning Inductive Reasoning: Specific General Example 1 Identify a pattern then use it to predict what happens next: 1, 1, 2, 3, 5, 8, 13 2, 4, 8, 16,,,, 1 of 4 Content
More informationName: Hoped-for Major:
Name: Hoped-for Major: Math 102: Math for Liberal Arts Sample Final Exam Read each question carefully, answer each question completely, and show all of your work. Write your solutions clearly and legibly;
More informationPage 1 of 17 Name: Which graph does not represent a function of x? What is the slope of the graph of the equation y = 2x -? 2 2x If the point ( 4, k) is on the graph of the equation 3x + y = 8, find the
More information3-4 Slope-Intercept Form. State the slope and the y-intercept for the graph of each equation. 1. y = 3x + 4 ANSWER: 3; 4. 2.
State the slope and the y-intercept for the graph of each equation. 1. y = 3x + 4 3; 4 Write an equation in slope-intercept form for the graph shown. 6. 2. y = x ; 3. 3x + y = 4 3; 4 Write an equation
More informationWhat You ll Learn. Why It s Important
Canada has 6 time zones. This map shows the summer time zones. What time is it where you are now? You want to call a friend in Newfoundland. What time is it there? In the province or territory farthest
More informationModule 2- A Functions A. 16, 18, 20, 22 B. 16, 19, 20, 21 C. 16, 20, 24, 28 D. 16, 22, 24, 26
Name: Date: 1. Lori counted her marbles by 4 to make a number pattern 4, 8, 12, 16 Which of these number patterns uses the same rule? A. 16, 18, 20, 22 B. 16, 19, 20, 21. 16, 20, 24, 28 D. 16, 22, 24,
More information1 of 5 8/11/2014 8:24 AM Units: Teacher: AdvancedMath, CORE Course: AdvancedMath Year: 2012-13 Ratios s Ratios s Ratio Applications of Ratio What is a ratio? What is a How do I use ratios proportions to
More informationLinear Inequalities in One and Two Variables
Date:10/18/2014 Topic IV: Graphing Linear Inequalities in Two Variables 4 th Class Objective: the students will Graphing Linear Inequalities in Two Variables Real-World Applications Agenda: Bell ringer
More information5 th Grade Summer Mathematics Review #1. Name: 1. Find the median. 2. Compare using <, >, or =. 5, 12, 18, 7, 24, 16. a) b)
1. Find the median. 5 th Grade Summer Mathematics Review #1 2. Compare using , or =. 5, 12, 18, 7, 24, 16 a) 0.432 0.4310 b) 0.199 0.2 3. Create a word problem for this open statement. 4. Solve. 72
More informationMTEL General Curriculum Mathematics 03 Multiple Choice Practice Test A Debra K. Borkovitz, Wheelock College
MTEL General Curriculum Mathematics 03 Multiple Choice Practice Test A Debra K. Borkovitz, Wheelock College Note: This test is the same length as the multiple choice part of the official test, and the
More informationGrade 7 Middle School Mathematics Contest Select the list below for which the values are listed in order from least to greatest.
Grade 7 Middle School Mathematics Contest 2004 1 1. Select the list below for which the values are listed in order from least to greatest. a. Additive identity, 50% of 1, two-thirds of 7/8, reciprocal
More informationChapter 7, Part 1B Equations & Functions
Chapter 7, Part 1B Equations & Functions Fingerstache Fingerstaches cost $7 per box. Copy and complete the table to find the cost of 2, 3, and 4 boxes. Number of Boxes Multiply by 7 Cost 1 1 x 7 $7 2 3
More informationfile:///d:/mohammad 1/New Folder/Freeman/Microeconomics Paul Krug...
1 of 33 5/26/2013 10:46 PM COURSES > C > CONTROL PANEL > POOL MANAGER > POOL CANVAS Add, modify, and remove questions. Select a question type from the Add drop-down list and click Go to add questions.
More informationMATH STUDENT BOOK. 6th Grade Unit 1
MATH STUDENT BOOK 6th Grade Unit 1 Unit 1 Whole Numbers and Algebra MATH 601 Whole Numbers and Algebra INTRODUCTION 3 1. WHOLE NUMBERS AND THEIR PROPERTIES 5 ROUNDING AND ESTIMATION 7 WHOLE NUMBER OPERATIONS
More informationGrade 8, Unit 3 Practice Problems - Open Up Resources
Grade 8, - Open Up Resources Lesson 1 Priya jogs at a constant speed. The relationship between her distance and time is shown on the graph. Diego bikes at a constant speed twice as fast as Priya. Sketch
More informationAlgebra/Geometry Session Problems Questions 1-20 multiple choice
lgebra/geometry Session Problems Questions 1-0 multiple choice nswer only one choice: (a), (b), (c), (d), or (e) for each of the following questions. Only use a number pencil. Make heavy black marks that
More information2008 Excellence in Mathematics Contest Team Project A. School Name: Group Members:
2008 Excellence in Mathematics Contest Team Project A School Name: Group Members: Reference Sheet Frequency is the ratio of the absolute frequency to the total number of data points in a frequency distribution.
More informationChapter 5 Mid-chapter Review. To use Slope-Intercept Form of a line, you must first solve the equation for y.
FM Algebra Chapter 5 Mid-chapter Review Name: Date: Pd: Section 5.1 Equations of Lines Using Slope-Intercept Form To use Slope-Intercept Form of a line, you must first solve the equation for y. y mx m
More informationCK-12 FOUNDATION. Algebra I Teacher s Edition - Answers to Assessment
CK-12 FOUNDATION Algebra I Teacher s Edition - Answers to Assessment CK-12 Foundation is a non-profit organization with a mission to reduce the cost of textbook materials for the K-12 market both in the
More informationUnit 5 Study Guide. 1. Look at this equation: 3. Choose the situation that is modeled by the equation. A + B 2 = C. y = x 3
Name: ate: 1. Look at this equation: A + 2 = Find three different numbers that you could substitute for the letters, given these restrictions: A 0, > 3 and is even. 3. hoose the situation that is modeled
More information3. Solve the following miscellaneous fraction equations:
Name: Date: / / 1. Solve the following MULTIPLICATION two-step equations: Remember: Get rid of constant FIRST (zero pairs); then, get rid of coefficient (divide on both sides)!! KCC for subtraction!! 5x
More informationCoimisiún na Scrúduithe Stáit State Examinations Commission. Junior Certificate Examination Mathematics
2018. S33 Coimisiún na Scrúduithe Stáit State Examinations Commission Junior Certificate Examination 2018 Mathematics Paper 2 Ordinary Level Monday 11 June Morning 9:30 to 11:30 300 marks Examination Number
More informationTest Booklet. Subject: MA, Grade: 07 TAKS Grade 7 Math Student name:
Test Booklet Subject: MA, Grade: 07 Student name: Author: Texas District: Texas Released Tests Printed: Friday March 02, 2012 1 The top, front, and side views of a 3-dimensional figure built with identical
More informationEDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 1. Working with whole numbers. SECTION A 1 Place value and rounding 2. 2 Negative numbers 4
EDEXCEL FUNCTIONL SKILLS PILOT Maths Level 2 Chapter 1 Working with whole numbers SECTION 1 Place value and rounding 2 2 Negative numbers 4 3 Factors and multiples 6 4 Estimating and checking 8 5 s for
More informationGoals may be short term, medium term or long term. A short. term goal is something you want to do in the next one to four weeks.
Budgeting Setting Money Goals Money can help us achieve our dreams in life. Setting goals can help you. You can make a plan to get to those dreams. You need to set specific goals. You need to find out
More information1. Solve the following MULTIPLICATION two-step equations:
Name: Date: / / 1. Solve the following MULTIPLICATION two-step equations: Remember: Get rid of constant FIRST (zero pairs); then, get rid of coefficient (divide on both sides)!! Change to ADDITION first!
More information1. Milo is making 1½ batches of muffins. If one batch calls for 1¾ cups flour, how much flour will he need?
Football Players 6 th Grade Test 2014 1. Milo is making 1½ batches of muffins. If one batch calls for 1¾ cups flour, how much flour will he need? A. 2 cups B. cups C. cups D. 3 cups E. 5 cups 2. The following
More information(a) Find the equation of the line that is parallel to this line and passes through the point.
1. Consider the line. (a) Find the equation of the line that is parallel to this line and passes through the point. (b) Find the equation of the line that is perpendicular to this line and passes through
More informationGraphs, Linear Equations and Functions
Graphs, Linear Equations and Functions There are several ways to graph a linear equation: Make a table of values Use slope and y-intercept Use x and y intercepts Oct 5 9:37 PM Oct 5 9:38 PM Example: Make
More informationWhich table shows the total cost for the given number of switches ordered?
lgebra 1 Review 1 Name: ate: 1 Find the missing term.?, 48, 12, 3 288 192 336 240 2 What are the next two terms in the pattern? 3,125, 625, 125, 25,... 30, 2 5, 1 30, 1 10, 2 opyright Pearson Education,
More information