Finding the Equation from a Slope and y-intercept
|
|
- Rodney Stevens
- 5 years ago
- Views:
Transcription
1 Lesson 4.4 Objectives Write linear equations given a slope and y-intercept, a slope and a point, or a graph. Writing Linear Equations Michael turns on the high-temperature oven each morning when he comes to the quality assurance laboratory. A chart recorder shows the evenly rising temperature over time. Michael knows it takes almost an hour for the oven to reach the desired temperature of 1,200F. But, how long will it take to reach 800F? Finding the Equation from a Slope and y-intercept The most common way to write a linear equation is in slopeintercept form. This is the most common way since it provides an easy way to identify both the slope and y-intercept of the graph. When you are given the slope of a line, m, and the y-intercept, b, you can substitute these values into the slope-intercept form to write a linear equation. Example 1 Finding the Equation of a Line Write the equation of the line that has a slope of 2 and y-intercept (0, 7) in slope-intercept form. Solution Substitute 2 for m and 7 for b in slope-intercept form. y mx b y 2 x Writing Linear Equations 22
2 Finding the Equation from a Point and a Slope In Lesson 4. you graphed a line given a point and the slope. You can write the equation of the line without graphing using either the slope-intercept form y mx b or the point-slope form. To use the slope-intercept form, use the coordinates of the given point to calculate b. To use the point-slope form, use the slope and the given point in the formula below. Point-Slope Form of a Linear Equation y y 1 m(x x 1 ), where (x 1, y 1 ) is a point on the line and m is the slope of the line. Example 2 Finding the Equation of a Line The phone company charges Jerry $0.45 for each additional peak minute over 500 minutes for using his cell phone. His bill last month was $60.25 for 545 minutes. What linear equation models Jerry s monthly cell phone bill? Solution Let x represent the number of additional peak minutes used and let y represent the total cost of the phone bill. The ordered pair (45 minutes, $60.25) represents a point on the graph of the equation. In slope-intercept form, the equation will be y mx b. The slope m is the charge rate. So m $0.45 per minute. Use the equation y 0.45x b. To find the y-intercept b, use the point (45, 60.25) that is on the line (45) b b 40 b Using the equation y $0.45x $40, you can determine the amount of Jerry s monthly bill for x additional peak minutes. Ongoing Assessment a. What is Jerry s monthly cell phone bill if he uses 62 additional peak minutes? b. How many additional peak minutes did Jerry use if his monthly bill was $4.15? 224 Chapter 4 Linear Equations
3 Ongoing Assessment Write the equation of the line that has the slope given and passes through the given point. a. (4, 5) and slope 2 y 2x 1 b. (4, 1) and slope 7 y x x c. (1, 6) and slope 1 4 y 1 4 x 41 4 Finding the Equation from a Graph Another way you can find the equation of a line is by analyzing its graph. The approach is very similar to the previous examples. In some cases you can simply look at the graph and determine the slope and y-intercept. In other cases, this may be more difficult to determine just by looking at the graph. Example Write an Equation from a Graph Reread the opening paragraph of this lesson. After Michael turns on the oven, how long will it take to reach 800F? Solution Model the relation between time (x) and oven temperature (y) with a linear equation. Oven Temperature Temperature ( F) Time (minutes) At 10 minutes he reads a temperature of 250F. This represents the ordered pair (10, 250). At 20 minutes he reads a temperature of 400F. This represents the ordered pair (20, 400). 4.4 Writing Linear Equations 225
4 Michael uses these two ordered pairs to find the slope. m y 2 y1 x2 x To determine the equation of the line, he needs to find the y-intercept. Use the point on the line (10, 250). point-slope form y-intercept form y y 1 m(x x 1 ) y mx b y (x 10) (10) b y x b y x b y 15x 100 b 100 y 15x 100 The equation that models the oven temperature is y 15x 100. Critical Thinking Use the graph to find the number of minutes it will take (x) for the oven to reach 800F (y). What temperature does the oven reach in 0 minutes? Ongoing Assessment Select two points on the graph and determine the equation for the line. Predict the value for another point on the line. 226 Chapter 4 Linear Equations
5 Lesson Assessment Think and Discuss 1. Explain how to find the equation of a line if you know the slope and y-intercept. 2. If you are given a point on a line and the slope of the line, what equation can you use to determine the y-intercept of the line?. Explain how to find the slope of a graph if you can identify two points on the graph. 4. What will be the form of the equation of a line that has a slope of 0? Practice and Problem Solving Write an equation in slope-intercept form for the line defined by the given slope th and intercept. 5. slope 1 ; y-intercept (0, 0) 2 6. slope 2; y-intercept (0, ) 7. slope 2 ; y-intercept (0, 5) 8. slope 4 ; y-intercept (0, 9) 5 9. slope 0; y-intercept S0, 2D 10. slope 4 ; y-intercept (0, 6) 11. slope 5; y-intercept (0, 7) 12. slope undefined; x-intercept (2, 0) Write an equation in slope-intercept form for the line defined by the given slope the and given point on the line. 1. slope 1 ; (4, 2) 14. slope ; (0, 7) slope 2 ; (9, 4) 16. slope 0; (5, 10) 17. slope 7 ; (5, 2) 18. slope 5 ; (6, 12) slope 1 ; (, 4) 20. slope 1; (4, 0) Writing Linear Equations 227
6 Write an equation in slope-intercept form for each line graphed. Identify the y-intercept Chapter 4 Linear Equations
7 27. Helen manages an apartment building. Upstairs tenants often want to install waterbeds, but Helen must determine whether the floor can support the weight of the beds. The typical frame weighs 80 pounds, and she knows that water weighs 8. pounds per gallon. a. What is the slope of the line that represents this situation? b. What is the y-intercept of the line that represents this situation? c. Write the equation of the line in slope-intercept form. d. Each square foot of a waterbed contains approximately 4 gallons of water. If a bed is 5 feet wide and 7 feet long, what will be the total weight of the waterbed? Mixed Review Write each number in scientific notation ( )( ) 0. A carpenter is cutting circular blocks from plywood. If the diameter of the circle is 2.1 meters, what is the area of the plywood section being cut out? 1. Tim invested $5,250 at 5.5% simple interest for 18 months. How much interest did Tim receive? 2. Draw a circle so that it fits into a square exactly. If the length of one side of the square is 625 centimeters, what is the area of the circle? Evaluate each expression when x is 4 and y is 2.. 5x y 4. x(y 5) 5. x 2 y 4.4 Writing Linear Equations 229
Section 4.3 Objectives
CHAPTER ~ Linear Equations in Two Variables Section Equation of a Line Section Objectives Write the equation of a line given its graph Write the equation of a line given its slope and y-intercept Write
More informationGraphing Equations Chapter Test Review
Graphing Equations Chapter Test Review Part 1: Calculate the slope of the following lines: (Lesson 3) Unit 2: Graphing Equations 2. Find the slope of a line that has a 3. Find the slope of the line that
More informationReview Exercise Set 13. Find the slope and the equation of the line in the following graph. If the slope is undefined, then indicate it as such.
Review Exercise Set 13 Exercise 1: Find the slope and the equation of the line in the following graph. If the slope is undefined, then indicate it as such. Exercise 2: Write a linear function that can
More informationdollars per person; the cost is $45 for each person. dollars per person; the cost is $1 for 225 people.
Name: ate: 1 The table shows the cost of a vacation package for a given number of people. The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for
More informationMrs Mat. Name: 2. Which is the following equation rewritten in slopeintercept. A) y = x + 1. B) y = 4x + 1. C) y = -4x + 1.
Slope, Intercepts, and Graphing Equations Exam Expressions and Equations 8.EE - Understand the connections between proportional relationships, lines, and linear equations. No Calculator! Make sure all
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
12B Practice for the Final Eam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. If = -4 and = -2, evaluate the epression. 12-6 1) + 2 A) - 9 B) 0 C)
More informationSection 7C Finding the Equation of a Line
Section 7C Finding the Equation of a Line When we discover a linear relationship between two variables, we often try to discover a formula that relates the two variables and allows us to use one variable
More informationSlope-Intercept Form Practice True False Questions Indicate True or False for the following Statements.
www.ck2.org Slope-Intercept Form Practice True False Questions Indicate True or False for the following Statements.. The slope-intercept form of the linear equation makes it easier to graph because the
More informationLesson 4.5 Real-World Problems: Linear Equations
Lesson 4.5 Real-World Problems: Linear Equations Explain the meaning of the slope and y-intercept in real-world problems. Example A telecommunication company charges their customers a fee for phone calls.
More informationMathematics Success Grade 8
Mathematics Success Grade 8 T379 [OBJECTIVE] The student will derive the equation of a line and use this form to identify the slope and y-intercept of an equation. [PREREQUISITE SKILLS] Slope [MATERIALS]
More informationUnit 3: Writing Equations Chapter Review
Unit 3: Writing Equations Chapter Review Part 1: Writing Equations in Slope Intercept Form. (Lesson 1) 1. Write an equation that represents the line on the graph. 2. Write an equation that has a slope
More information2.2 Contextualizing Linear Functions
2.2 izing Linear Functions Last unit we defined a linear function in several different ways: A function whose graph is a straight line, A function whose rate of change is constant, or A function whose
More informationExtra Practice Chapter 6
Extra Practice Chapter 6 Topics Include: Equation of a Line y = mx + b & Ax + By + C = 0 Graphing from Equations Parallel & Perpendicular Find an Equation given Solving Systems of Equations 6. - Practice:
More informationb) According to the statistics above the graph, the slope is What are the units and meaning of this value?
! Name: Date: Hr: LINEAR MODELS Writing Motion Equations 1) Answer the following questions using the position vs. time graph of a runner in a race shown below. Be sure to show all work (formula, substitution,
More informationAlgebra Success. LESSON 14: Discovering y = mx + b
T282 Algebra Success [OBJECTIVE] The student will determine the slope and y-intercept of a line by examining the equation for the line written in slope-intercept form. [MATERIALS] Student pages S7 S Transparencies
More informationReview for Test 3: Linear Functions
Name: Date: Period: Review for Test 3: Linear Functions Slope Formula: y 2 y 1 x 2 x 1 1. Graph the line that passes through the given points. Then identify the slope, whichever intercept is asked for,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MGF 1107 Practice Final Dr. Schnackenberg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the equation. Select integers for x, -3 x 3. 1) y
More informationNCC Pre Calculus Partnership Program Final Examination, 2009
NCC Pre Calculus Partnership Program Final Examination, 2009 2009 Final Part I: Answer all 25 questions in this part. Each question is worth 2 points. Leave all answers in EXACT form, i.e., in terms of
More informationRepresenting Linear Functions. Constant Rate of Change and Direct Variation. Writing Linear Equations
Lesson 7-1 Lesson 7-2 Lesson 7-3 Lesson 7-4 Lesson 7-5 Lesson 7-6 Lesson 7-7 Lesson 7-8 Functions Representing Linear Functions Rate of Change Constant Rate of Change and Direct Variation Slope Slope-Intercept
More information3. Joyce needs to gather data that can be modeled with a linear function. Which situation would give Joyce the data she needs?
Unit 6 Assessment: Linear Models and Tables Assessment 8 th Grade Math 1. Which equation describes the line through points A and B? A. x 3y = -5 B. x + 3y = -5 C. x + 3y = 7 D. 3x + y = 5 2. The table
More informationLesson 2.6 Creating and Graphing Linear Equations in Two Variables
Lesson 2.6 Creating and Graphing Linear Equations in Two Variables Concept: Graphing Linear Equations EQ: How do I create and graph a linear equation in two variables from a word problem? (Standard CED.2)
More information3. a) Recall that slope is calculated with formula:
Economics 102 Fall 2007 Homework #1 Answer Key 1. Cheri s opportunity cost of seeing the show is $115 dollars. This includes the $80 she could have earned working, plus the $30 for the ticket, plus the
More informationSemester Exam Review
Semester Exam Review Name Date Block MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. For the given equation, find the values of a, b, and c, determine
More informationPiecewise-Defined Functions
The Right Stuff: Appropriate Mathematics for All Students Promoting materials that engage students in meaningful activities, promote the effective use of technology to support the mathematics, further
More informationSurvey of Math Exam 2 Name
Survey of Math Exam 2 Name 1. Graph y = 2x 2, by letting x = 3, 2, 1,0,1,2, and 3 and finding corresponding values for y. SEE MARIANNE FOR SOLUTION 2. Use the x- and y-intercepts to graph 4x 2y = 8 SEE
More informationQuestion 3: How do you find the relative extrema of a function?
Question 3: How do you find the relative extrema of a function? The strategy for tracking the sign of the derivative is useful for more than determining where a function is increasing or decreasing. It
More informationProportional Reasoning and Scale: Solve Problems Using Proportions: Play Answer Sheet
Name Date Proportional Reasoning and Scale: Solve Problems Using Proportions: Play Answer Sheet Selected Response Items Indicate letter or letters only. 1. 2. 3. 4. 5. 6. 7. 8. 9. Fill-in-the-Blank Items
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Algebra - Final Exam Review Part Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use intercepts and a checkpoint to graph the linear function. )
More information1. Graph y = 2x 2, let x = 3, 2, 1,0,1,2, and 3. 4x 2y = 8. Survey of Math Exam 2 Name. See Marianne for solution
Survey of Math Exam 2 Name 1. Graph y = 2x 2, let x = 3, 2, 1,0,1,2, and 3 See Marianne for solution 2. Use the x- and y-intercepts to graph See Marianne for solution 4x 2y = 8 3. If f (x) = 3x 2 7x 5,
More informationWriting Linear Equations from a Context
Writing Linear Equations from a Context Word problems in Slope-intercept form When a word problem involves a constant rate or speed and a beginning amount, it can be written in slope-intercept form: y
More informationRead the following situation to determine whether the inequality correctly models the company s information.
Algebra 1 EOC Review #7 m w2q0y1c7h \KquntBaE qsoohfhthwwabrhei vlxlvcc.e a naslzlu BrniVgwhgtosV er_e\sxeerivdeado. Additional Practice 1) Selected-Response Name Date Period Sandra sells necklaces at
More informationMod 3 Word Problems #1 CW/HW
Name KEY Math 075 Mod 3 Word Problems #1 CW/HW 1. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Find the slope, including units, and write a
More informationUnit 2 Linear Equations and Inequalities in One Variable (Keystone Review)
Keystone Review Unit Name: Date: Period: Unit Linear Equations and Inequalities in One Variable (Keystone Review) Part. Solving -Step Equations ) Solve: g 7 8 A) B) C) D) ) Solve: x 8 A) 6 B) C) 7 D) 6
More informationFinal Project. College Algebra. Upon successful completion of this course, the student will be able to:
COURSE OBJECTIVES Upon successful completion of this course, the student will be able to: 1. Perform operations on algebraic expressions 2. Perform operations on functions expressed in standard function
More informationMath Performance Task Teacher Instructions
Math Performance Task Teacher Instructions Stock Market Research Instructions for the Teacher The Stock Market Research performance task centers around the concepts of linear and exponential functions.
More information^(-y-'h) (-!)-'(-5)- i- i
68 Chapter 1 LINEAR FUNCTIONS The slope 1032.6 indicates that tuition and fees have increased approximately $1033 per year. (c) The year 202 is too far in the future to rely on this equation to predict
More information3.3 rates and slope intercept form ink.notebook. October 23, page 103. page 104. page Rates and Slope Intercept Form
3.3 rates and slope intercept form ink.notebook page 103 page 104 page 102 3.3 Rates and Slope Intercept Form Lesson Objectives 3.3 Rates and Slope-Intercept Form Press the tabs to view details. Standards
More information(, ) (, ) (, ) TOWING SERVICE. Name Period Date. Equation. Verbal Description
TOWING SERVICE When a tow truck is called, the cost of the service is $10 plus $1 per mile that the car must be towed. Write and graph a linear equation to represent the total cost of the towing service,
More information$0.00 $0.50 $1.00 $1.50 $2.00 $2.50 $3.00 $3.50 $4.00 Price
Orange Juice Sales and Prices In this module, you will be looking at sales and price data for orange juice in grocery stores. You have data from 83 stores on three brands (Tropicana, Minute Maid, and the
More informationGOOD LUCK! 2. a b c d e 12. a b c d e. 3. a b c d e 13. a b c d e. 4. a b c d e 14. a b c d e. 5. a b c d e 15. a b c d e. 6. a b c d e 16.
MA109 College Algebra Spring 2017 Exam2 2017-03-08 Name: Sec.: Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam. No books or notes may be used. You may
More informationGOOD LUCK! 2. a b c d e 12. a b c d e. 3. a b c d e 13. a b c d e. 4. a b c d e 14. a b c d e. 5. a b c d e 15. a b c d e. 6. a b c d e 16.
MA109 College Algebra Fall 017 Exam 017-10-18 Name: Sec.: Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam. No books or notes may be used. You may use
More informationf x f x f x f x x 5 3 y-intercept: y-intercept: y-intercept: y-intercept: y-intercept of a linear function written in function notation
Questions/ Main Ideas: Algebra Notes TOPIC: Function Translations and y-intercepts Name: Period: Date: What is the y-intercept of a graph? The four s given below are written in notation. For each one,
More informationHIGH-LOW METHOD. Key Terms and Concepts to Know
HIGH-LOW METHOD Key Terms and Concepts to Know Variable, Fixed and Mixed Costs Many costs are clearly variable, such as direct labor and direct materials, or clearly fixed, such as rent and salaries. Other
More informationList the quadrant(s) in which the given point is located. 1) (-10, 0) A) On an axis B) II C) IV D) III
MTH 55 Chapter 2 HW List the quadrant(s) in which the given point is located. 1) (-10, 0) 1) A) On an axis B) II C) IV D) III 2) The first coordinate is positive. 2) A) I, IV B) I, II C) III, IV D) II,
More information4. a. This table shows two points that are on the same straight line. Complete the table to show three other points on the same line.
Moving Straight Ahead Study Questions 0. Sharon owns a bakery that makes cakes. She must pay a monthly rent for the bakery, and has to pay for ingredients for each cake. In January she made 300 cakes and
More informationpar ( 12). His closest competitor, Ernie Els, finished 3 strokes over par (+3). What was the margin of victory?
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Tiger Woods won the 000 U.S. Open golf tournament with a score of 1 strokes under par
More information(GPA, student) (area code, person) (person, shirt color)
Foundations of Algebra Unit 5 Review Part One Name: Day One: Function Notation In order for a relation to be a function, every must have exactly one. 1) Determine whether each of the following represents
More informationMAT Pre-Calculus Class Worksheet - Word Problems Chapter 1
MAT 111 - Pre-Calculus Name Class Worksheet - Word Problems Chapter 1 1. The cost of a Frigbox refrigerator is $950, and it depreciates $50 each year. The cost of a new Arctic Air refrigerator is $1200,
More informationpar ( 12). His closest competitor, Ernie Els, finished 3 strokes over par (+3). What was the margin of victory?
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) Tiger Woods won the 2000 U.S. Open golf tournament with a score of 2 strokes under par
More informationPractice 5-5. The y-intercept of a Line. Name Class Date. 2. Graph the equation y = x + 7. What is the y-intercept of the graph of the equation?
Name Class Date Practice 5-5 The y-intercept of a Line 5-5 The y-intercept of a Line 1. What is the y-intercept of the graph? 2. Graph the equation y = x + 7. What is the y-intercept of the graph of the
More informationLesson 3.3 Constant Rate of Change (linear functions)
Lesson 3.3 Constant Rate of Change (linear functions) Concept: Characteristics of a function EQ: How do we analyze a real world scenario to interpret a constant rate of change? (F.IF.7) Vocabulary: Rate
More informationReview of Beginning Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review of Beginning Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classify as an expression or an equation. 1) 2x + 9 1) A) Expression B)
More informationUse a graphing calculator to approximate all real solutions of the equation. 1) f(x) = x3-3x2-36x A) 36, 3, 108 B) -6, 3, 6 C) -3, 3, 6 D) 3
Assignment 1 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a graphing calculator to approximate all real solutions of the equation. 1)
More informationMath 116: Business Calculus
Math 116: Business Calculus Instructor: Colin Clark Spring 2017 Exam 1 - Thursday February 9. 1.1 Slopes and Equations of Lines. 1.2 Linear Functions and Applications. 2.1 Properties of Functions. 2.2
More informationBARUCH COLLEGE MATH 2003 SPRING 2006 MANUAL FOR THE UNIFORM FINAL EXAMINATION
BARUCH COLLEGE MATH 003 SPRING 006 MANUAL FOR THE UNIFORM FINAL EXAMINATION The final examination for Math 003 will consist of two parts. Part I: Part II: This part will consist of 5 questions similar
More information1. You are given two pairs of coordinates that have a linear relationship. The two pairs of coordinates are (x, y) = (30, 70) and (20, 50).
Economics 102 Fall 2017 Answers to Homework #1 Due 9/26/2017 Directions: The homework will be collected in a box before the lecture. Please place your name, TA name and section number on top of the homework
More informationPlease show work for all calculated answers. Show work in a neat and organized manner.
Math 083 Review for Final Exam Name Please show work for all calculated answers. Show work in a neat and organized manner. 1) Using the frequency table for a monthly budget, find all of the relative frequencies
More information35 38 point slope day 2.notebook February 26, a) Write an equation in point slope form of the line.
LT 6: I can write and graph equations in point slope form. p.35 What is point slope form? What is slope intercept form? Let's Practice: There is a line that passes through the point (4, 3) and has a slope
More informationObjective Today I will calculate the linear depreciation of an automobile. Bellwork 1) What do you think depreciate means?
Objective Today I will calculate the linear depreciation of an automobile. Bellwork 1) What do you think depreciate means? lose value 2) In the equation y = 200x + 450, explain what 200 and 450 mean. 200
More informationCell Phone Plans Assignment
Cell Phone Plans Assignment Name: /43 Total This Investigation has the following components: INTRODUCTION Overview of the different Plans PART A Make a hypothesis à which do you think is best for you (2
More informationTopic #1: Evaluating and Simplifying Algebraic Expressions
John Jay College of Criminal Justice The City University of New York Department of Mathematics and Computer Science MAT 105 - College Algebra Departmental Final Examination Review Topic #1: Evaluating
More informationStatistics 101: Section L - Laboratory 6
Statistics 101: Section L - Laboratory 6 In today s lab, we are going to look more at least squares regression, and interpretations of slopes and intercepts. Activity 1: From lab 1, we collected data on
More informationUse Scantron 882E to transfer the answers. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
HW Date: Name Use Scantron 88E to transfer the answers. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The graph shows sales in thousands of dollars
More informationModeling Relationships. 2. What is a linear function? How can you determine if a function is linear or not?
Modeling Relationships 1. What is a function? 2. What is a linear function? How can you determine if a function is linear or not? 3. How can you determine the rate of change given the equation of a linear
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
INTRODUCTORY ALGEBRA/GRACEY CHAPTER 1-2.3 PRACTICE Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the algebraic expression for the
More informationMathematics Success Level H
Mathematics Success Level H T473 [OBJECTIVE] The student will graph a line given the slope and y-intercept. [MATERIALS] Student pages S160 S169 Transparencies T484, T486, T488, T490, T492, T494, T496 Wall-size
More informationDecimal Multiplication and Division 1) ) ) ) ) 5.4 x ) x 2
Level B2 Review Packet This packet briefly reviews the topics covered on the Level A Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below, please
More informationTCM Final Review Packet Name Per.
TCM Final Review Packet Name Per. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Translate the statement into a formula. 1) The total distance traveled,
More informationChap3a Introduction to Exponential Functions. Y = 2x + 4 Linear Increasing Slope = 2 y-intercept = (0,4) f(x) = 3(2) x
Name Date HW Packet Lesson 3 Introduction to Exponential Functions HW Problem 1 In this problem, we look at the characteristics of Linear and Exponential Functions. Complete the table below. Function If
More informationChapter 4 Factoring and Quadratic Equations
Chapter 4 Factoring and Quadratic Equations Lesson 1: Factoring by GCF, DOTS, and Case I Lesson : Factoring by Grouping & Case II Lesson 3: Factoring by Sum and Difference of Perfect Cubes Lesson 4: Solving
More informationAlgebra I EOC - Review 1 st Semester, (2x + 1) 3
Algebra I EOC - Review 1 st Semester, 2013 Simplify the following. 1. - 2 1 (x 3) + 5 4 (2x + 1) 2. 4 3 (2x + 1) 3 2 (x 1) 3. (6x 4) + 5(2x + 3) 4. -2(3x 1) 4(x + 1) Find the following for each of the
More informationName: Manuel Hernandez July 14, 2006
(1) Making projections: A spreadsheet program stores and calculates information in a structured array of data cells. By defining relationships between information in cells, a user can see the effects of
More informationEquations. Krista Hauri I2T2 Project
Applied Linear Equations Krista Hauri I2T2 Project Grade Level: 9 th Intergraded Algebra 1 Time Span : 5 (40 minute) days Tools: Calculator Base Ranger (CBR) at least 4 TI-84 Graphing Calculator for each
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
CHAPTER FORM A Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given ordered pair is a solution of the given equation.
More informationAdvanced Algebra/Trigonometry SUMMER PACKET Introduction (12 2)
NAME Advanced Algebra/Trigonometry SUMMER PACKET Introduction (12 2) This packet is due on the first day of school in September. You are responsible to do and show work for any 50 problems that you decide
More informationAlgebra 1 Semester 1 Final Exam Review (Chapters 2, 3, 4, & 5)
Name: Date Block: Algebra 1 Semester 1 Final Exam Review (Chapters 2, 3, 4, & 5) Chapter 2: Solving Equations 1. Solve each equation. Show your work! 5 1 3n y a) f + 9.8 = 8 b) h + = c) 2p = 54 d) - 15
More informationEOC Review Days 2 & 3: Linear Basics, Slope, and Intercepts
Name: Date: Period: Algebra 1 Bowling, Cawthon, Fletcher, Skiles EOC Review Days 2 & 3: Linear Basics, Slope, and Intercepts 1. Find the x-intercept and the y-intercept for the function represented in
More informationPre-Algebra Blizzard Bag Number 3
Name: Class: Date: ID: A Pre-Algebra Blizzard Bag Number 3 Multiple Choice Identify the choice that best completes the statement or answers the question. Express each ratio as a fraction in simplest form..
More information3.1 Solutions to Exercises
.1 Solutions to Exercises 1. (a) f(x) will approach + as x approaches. (b) f(x) will still approach + as x approaches -, because any negative integer x will become positive if it is raised to an even exponent,
More information1) ordered pair: 2) function: 3) domain: 4) range: 5) solution of a linear equation: 6) proportional graph: 7) origin: 8) slope: 9) rise: 10) run:
ARE YOU READY? 7 th Grade Accelerated Chapter 11 Name: Vocabulary Date: Block: Write the definition for the following terms. Give an example if possible. 1) ordered pair: 2) function: 3) domain: 4) range:
More informationPractice 5-4. Unit Rates and Slope. Name Class Date
Name Class Date Practice 5-4 Unit Rates and Slope 5-4 Unit Rates and Slope 1. The graph shows the number of centimeters a particular plant grows over time. Given the points (0,0) and (4,6), how many centimeters
More informationChapter 2-4 Review. Find the equation of the following graphs. Then state the domain and range: 1a) 1b) 1c)
Chapter - Review Find the equation of the following graphs. Then state the domain and range: a) b) c) a) b) c) a) b) c) Find the domain of the following functions. Write your answer in interval notation:
More informationa) When was the price higher at opening, on day 7 or on day 8? Explain why.
Problem 2 (12 points) The opening price of one share of stock for the BBM Company is monitored over a period of 10 days. The graph below gives the change in the price of one share at opening time compared
More information6.3 Comparing Functions
? LESSN 6.3 Comparing Functions ESSENTIAL QUESTIN How can you use tables, graphs, and equations to compare functions? Proportionality 8.5.I Write an equation in the form y = mx + b to model a linear relationship
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) C) 31.
Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the sentence as a mathematical statement. 1) Negative twent-four is equal to negative
More informationLesson 12 Section 2.3
Lesson Section.3 Compare the graphs of the lines below. A B C = = + 3 = - 4 0 0 0 3 0-4 - - - - -6 4 7 0-3 -6-3 -3-3 0 How does each point of graph B compare with graph A (directl below)? How does each
More informationUnit 10 Independent Summer Packet
Unit 10 Independent Summer Packet Name For each skill in this packet, there are examples, explanations and definitions to read followed by practice problems for you to complete. Complex Fractions and Unit
More informationGRAPHS AND EXAMPLES FOR LECTURE MATH 111
GRAPHS AND EXAMPLES FOR LECTURE MATH 111 Lecture Materials for Supplement Sections 1 and 2 Situation: This is the graph of distance traveled for a car driving on a long straight road. 550 500 450 400 distance
More informationUnit 2: Ratios & Proportions
Unit 2: Ratios & Proportions Name Period Score /42 DUE DATE: A Day: Sep 21st B Day: Sep 24th Section 2-1: Unit Rates o Rate- A ratio that compares quantities with different kinds of units. o Unit Rate-
More informationCH 3 P4 as of ink
1 2 3 4 5 Ron has a player s card for the arcade at the mall. His player s card keeps track of the number of credits he earns as he wins games. Each winning game earns the same number of credits, and those
More informationASSIGNMENT 3 DYLAN ZWICK S MATH 1010 CLASS
ASSIGNMENT 3 DYLAN ZWICK S MATH 1010 CLASS 1. Section 2.2 2.2.1: Find a number such that the sum of the number and 24 is 68. 2.2.3: You have accepted a job offer at an annual salary of $37,120. This salary
More information3.1 Solutions to Exercises
.1 Solutions to Exercises 1. (a) f(x) will approach + as x approaches. (b) f(x) will still approach + as x approaches -, because any negative integer x will become positive if it is raised to an even exponent,
More informationk x Unit 1 End of Module Assessment Study Guide: Module 1
Unit 1 End of Module Assessment Study Guide: Module 1 vocabulary: Unit Rate: y x. How many y per each x. Proportional relationship: Has a constant unit rate. Constant of proportionality: Unit rate for
More informationA warm up to review identifying proportional and non-proportional relationships from tables and graphs would give students entry to the activity.
1 Interpreting Slopes and Y-Intercepts of Proportional and Non-Proportional Relationships Task 1: Investigating Proportional and Non-Proportional Relationships Framework Cluster Standard(s) Materials/Links
More informationWEEK 1 REVIEW Lines and Linear Models. A VERTICAL line has NO SLOPE. All other lines have change in y rise y2-
WEEK 1 REVIEW Lines and Linear Models SLOPE A VERTICAL line has NO SLOPE. All other lines have change in y rise y- y1 slope = m = = = change in x run x - x 1 Find the slope of the line passing through
More informationCost (in dollars) 0 (free) Number of magazines purchased
Math 1 Midterm Review Name *****Don t forget to study the other methods for solving systems of equations (substitution and elimination) as well as systems of linear inequalities and line of best fit! Also,
More information5.2E Lesson: Proportions in Tables and Graphs*
5.2E Lesson: Proportions in Tables and Graphs* Name: Period: 1. Use Graph A below to fill in the table relating calories to snacks. Number Number of Ordered Write a complete sentence describing the meaning
More informationHandout to accompany Worksheet #1
Handout to accompany Worksheet #1 Situation: The graph below is distance vs. time for a rocket car traveling on the rocket car freeway. 6 5 4 distance 3 (in miles) 2 1 1 2 3 4 5 6 7 time (in minutes) 1
More informationCH 39 CREATING THE EQUATION OF A LINE
9 CH 9 CREATING THE EQUATION OF A LINE Introduction S ome chapters back we played around with straight lines. We graphed a few, and we learned how to find their intercepts and slopes. Now we re ready to
More information2015 Algebra 1 Semester Exam Review. Write an equation to represent the graph below. Which ray on the graph best represents a slope of 55 mph?
2015 Algebra 1 Semester Exam Review 1. Write an equation to represent the graph below. 2. 2. In the distance formula d = rt, r represents the rate of change, or slope. Which ray on the graph best represents
More information