BI 4.5 Graphing Linear Equations in Standard Form

Size: px
Start display at page:

Download "BI 4.5 Graphing Linear Equations in Standard Form"

Transcription

1 BI 4.5 Graphing Linear Equations in Standard Form 2x + 3y = 6 Write the equation in slope intercept form. slope: y intercept: Graph the equation. 1

2 Write the equation in slope intercept form. 1 3 x + y = slope: y intercept: Graph the equation. Find the x and y intercepts. x + 3y = 3 3x 4y = 12 x + 3y = 3 2

3 Five friends go scuba diving. They rent a boat for x days for $250 a day and scuba gear for y days for $50 a day. The total spent is $1000. a. Write an equation in standard form that represents the situation. b. Write the equation in slope intercept form and graph the equation. You have $6 to spend on apples and bananas. You buy a certain amount of bananas(x) for $1.50 a pound and a certain amount of apples(y) for $. 60 a pound. a. Write an equation in standard form that represents the situation. b. Write the equation in slope intercept form and graph the equation. 3

4 Complete the Exit Ticket and it hand in. Write the equation in slope intercept form. Identify the slope and y intercept. 1) 18x + 9y = 17 2) 1 x 1 y = Assignment: BI 4.5 #5 21 odd ENY Lesson 17 Slope Intercept Form 4

5 Lin Equ Pt 2 per 1.notebook 5

6 Complete the Exit Ticket and it hand in PS #1 4 Assignment: 6

7 Big Ideas 4.6 Graphing and Writing Linear Equations Write an equation of the line using the coordinates in slope intercept form. (1,4) (0,2) (0, 1) (3, 5) (0, 4) ( 3, 4) 7

8 The graph shows the distance remaining to complete the tunnel. a) Write an equation that represents the distance y(in feet) remaining after x months. b) How much time does it take to complete the tunnel? EXIT TICKET One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation that represents the amount of money, y, you have raised after x miles. 8

9 Complete the Exit Ticket. Write an equation in slope intercept form using the coordinates ( 2,4) (0, 1). Assignment: BI 4.6 #5 17 odd ENY 4.18 Slope and y-intercept 9

10 10

11 11

12 Complete the Exit Ticket. ENY 4.18 PS #1 10 Assignment: ENY 4.19 More Slope and y-intercept 12

13 Identify the slope and y intercept. y = 3x 9 x + 2y = 6 slope: slope: y intercept: y intercept: Identify the slope and y intercept. x 2 y = 8 2x + 3y = 12 3x + 8y = 24 13

14 Identify the slope and y intercept. x 6y = 15 y = 1/6x + ( 5/2) 4x + 3y = 21 y = 4/3x + 7 Complete the Exit Ticket. ENY 4.19 PS #1 10 Assignment: 14

15 ENY 4.20 Write Linear Equations from a Graph 15

16 Lin Equ Pt 2 per 1.notebook 16

17 Complete the Exit Ticket. ENY 4.20 PS #1 6 QUIZ TOMORROW Assignment: ENY Lesson 21 Slope Form Coordinates and Slope 17

18 Lin Equ Pt 2 per 1.notebook 18

19 Lin Equ Pt 2 per 1.notebook 19

20 Complete the Exit Ticket and it hand in PS #1 8 Assignment: ENY 4.22 Constant Rate and Word Problems 20

21 Lin Equ Pt 2 per 1.notebook 21

22 Lin Equ Pt 2 per 1.notebook 22

23 Complete the Exit Ticket. ENY 4.22 PS #1 5 Assignment: 23

24 Slope Intercept form word problems An attorney charges a fixed fee of $250 for an intial meeting and $150 per hour for all hours worked after that. a) Write an equation in slope intercept form. Graph the equation. b) The solve the equation if the total fee were $2,

25 A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. a) Write an equation is slope intercept form to represent this situation. Graph the equation. b) How long will it take to get 127 gallons of water? A video rental store charges a $20 membership fee and $2.50 for each video rented. a) Write an equation in slope intercept form to model this situation then graph it. b) If 15 videos are rented, how much money did the store collect? c) If a new member paid the store $67.50 in the last 3 months, how many video games were rented? 25

26 Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket cost $2.50. a) Write an equation in slope intercept form to represent this situation. b) If Casey made 40 baskets this past week, what were her total weekly costs? c) Her total costs for the week before were $ How many dessert baskets did she make the week before? The distance y (in meters) that a four person ski lift travels in x seconds is represented by the equation y = 2.5x. The graph shows the distance that a twoperson ski lift travels. a. Can we figure out which ski lift is faster? b. Graph the equation that represents the four person ski lift in the same coordinate graph as the two person ski lift. Compare the steepness of the graphs. What does this mean? c. The table shows the distance that a T bar ski lift travels. Compare its speed to the two and fourperson ski lift. 26

27 The distance a VW Bug travels on x gallons of gas is represented by the equation y = 43x. The graph shows the distance another car travels. a. Which vehicle gets better gas mileage? Explain how you got your answer. b. How much farther can the vehicle you chose in part a travel than the other vehicle on 8 gallons of gas? Assignment: Slope Intercept Form Word Problems QUIZ TOMORROW 27

28 ENY Lesson 23 Defining an Equation of a Line Graph the equation 9x + 3y = 18. Graph the equation y = 3x

29 2 3. Graph the equation y = x 4. 3 Graph the equation 6x 9y = 36 29

30 4. Write three equations that would graph as the same line as the equation 3x + 2y = 7. 30

31 Complete the Exit Ticket and it hand in. Assignment: 4.22 PS #1 3 and 4 or 5 31

Final Graphing Practice #1

Final Graphing Practice #1 Final Graphing Practice #1 Beginning Algebra / Math 100 Fall 2013 506 (Prof. Miller) Student Name/ID: Instructor Note: Assignment: Set up a tutoring appointment with one of the campus tutors or with me.

More information

Algebra EOC Practice Test #2

Algebra EOC Practice Test #2 Class: Date: Algebra EOC Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following lines is perpendicular to the line y =

More information

Acquisition Lesson Plan for the Concept, Topic or Skill---Not for the Day

Acquisition Lesson Plan for the Concept, Topic or Skill---Not for the Day Acquisition Lesson Plan Concept: Linear Systems Author Name(s): High-School Delaware Math Cadre Committee Grade: Ninth Grade Time Frame: Two 45 minute periods Pre-requisite(s): Write algebraic expressions

More information

Coordinate Plane, Slope, and Lines Long-Term Memory Review Review 1

Coordinate Plane, Slope, and Lines Long-Term Memory Review Review 1 Review. What does slope of a line mean?. How do you find the slope of a line? 4. Plot and label the points A (3, ) and B (, ). a. From point B to point A, by how much does the y-value change? b. From point

More information

Graphing: Slope-Intercept Form

Graphing: Slope-Intercept Form Graphing: Slope-Intercept Form A cab ride has an initial fee of $5.00 plus $0.20 for every mile driven. Let s define the variables and write a function that represents this situation. We can complete the

More information

American Diploma Project

American Diploma Project Student Name: American Diploma Project ALGEBRA l End-of-Course Eam PRACTICE TEST General Directions Today you will be taking an ADP Algebra I End-of-Course Practice Test. To complete this test, you will

More information

Writing the Equation of a Line in Slope-Intercept Form

Writing the Equation of a Line in Slope-Intercept Form Writing the Equation of a Line in Slope-Intercept Form Slope-Intercept Form y = mx + b Example 1: Give the equation of the line in slope-intercept form a. With y-intercept (0, 2) and slope -9 b. Passing

More information

Sports Word Problems Starring Decimals and Percents

Sports Word Problems Starring Decimals and Percents Math Word Problems Solved Reproducible Worksheets Reproducible Worksheets for: Sports Word Problems Starring Decimals and Percents These worksheets are reproducible for educational use only and are not

More information

North Carolina Community College System Diagnostic and Placement Test Sample Questions

North Carolina Community College System Diagnostic and Placement Test Sample Questions North Carolina Community College System Diagnostic and Placement Test Sample Questions 01 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College

More information

Warm Up. Write an equation given the slope and y-intercept. Write an equation of the line shown.

Warm Up. Write an equation given the slope and y-intercept. Write an equation of the line shown. Warm Up Write an equation given the slope and y-intercept Write an equation of the line shown. EXAMPLE 1 Write an equation given the slope and y-intercept From the graph, you can see that the slope is

More information

Skills Practice Skills Practice for Lesson 1.1

Skills Practice Skills Practice for Lesson 1.1 Skills Practice Skills Practice for Lesson. Name Date Tanks a Lot Introduction to Linear Functions Vocabular Define each term in our own words.. function A function is a relation that maps each value of

More information

MATH COMPUTATION. Part 1. TIME : 15 Minutes

MATH COMPUTATION. Part 1. TIME : 15 Minutes MATH COMPUTATION Part 1 TIME : 15 Minutes This is a practice test - the results are not valid for certificate requirements. A calculator may not be used for this test. MATH COMPUTATION 1. 182 7 = A. 20

More information

Test 4 Sample Problem Solutions, 27.58 = 27 47 100, 7 5, 1 6. 5 = 14 10 = 1.4. Moving the decimal two spots to the left gives

Test 4 Sample Problem Solutions, 27.58 = 27 47 100, 7 5, 1 6. 5 = 14 10 = 1.4. Moving the decimal two spots to the left gives Test 4 Sample Problem Solutions Convert from a decimal to a fraction: 0.023, 27.58, 0.777... For the first two we have 0.023 = 23 58, 27.58 = 27 1000 100. For the last, if we set x = 0.777..., then 10x

More information

Algebra EOC Practice Test #4

Algebra EOC Practice Test #4 Class: Date: Algebra EOC Practice Test #4 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. For f(x) = 3x + 4, find f(2) and find x such that f(x) = 17.

More information

Aim: How do we find the slope of a line? Warm Up: Go over test. A. Slope -

Aim: How do we find the slope of a line? Warm Up: Go over test. A. Slope - Aim: How do we find the slope of a line? Warm Up: Go over test A. Slope - Plot the points and draw a line through the given points. Find the slope of the line.. A(-5,4) and B(4,-3) 2. A(4,3) and B(4,-6)

More information

Answers for the lesson Write Linear Equations in Slope-Intercept Form

Answers for the lesson Write Linear Equations in Slope-Intercept Form LESSON 4.1 Answers for the lesson Write Linear Equations in Slope-Intercept Form Skill Practice 1. slope. You can substitute the slope for m and the y-intercept for b to get the equation of the line..

More information

Lesson 19: Comparison Shopping Unit Price and Related Measurement Conversions

Lesson 19: Comparison Shopping Unit Price and Related Measurement Conversions Comparison Shopping Unit Price and Related Measurement Conversions Student Outcomes Students solve problems by analyzing different unit rates given in tables, equations, and graphs. Materials Matching

More information

Effects of changing slope or y-intercept

Effects of changing slope or y-intercept Teacher Notes Parts 1 and 2 of this lesson are to be done on the calculator. Part 3 uses the TI-Navigator System. Part 1: Calculator Investigation of changing the y-intercept of an equation In your calculators

More information

Intro to Linear Equations Algebra 6.0

Intro to Linear Equations Algebra 6.0 Intro to Linear Equations Algebra 6.0 Linear Equations: y x 7 y x 5 x y Linear Equations generally contain two variables: x and y. In a linear equation, y is called the dependent variable and x is the

More information

Teacher: Maple So School: Herron High School. Comparing the Usage Cost of Electric Vehicles Versus Internal Combustion Vehicles

Teacher: Maple So School: Herron High School. Comparing the Usage Cost of Electric Vehicles Versus Internal Combustion Vehicles Teacher: Maple So School: Herron High School Name of Lesson: Comparing the Usage Cost of Electric Vehicles Versus Internal Combustion Vehicles Subject/ Course: Mathematics, Algebra I Grade Level: 9 th

More information

Weight (lbs.) 3 5 8 10 Cost ($) 9 15 24 30

Weight (lbs.) 3 5 8 10 Cost ($) 9 15 24 30 Name: Class: Date: ID: R CCA Week 12 Test REVIEW 7R 1. Look at the table below. Weight (lbs.) 3 5 8 10 Cost ($) 9 15 24 30 Determine the constant of proportionality. 2. Elizabeth took a test of 25 questions.

More information

Two-step equations - word problems - integers

Two-step equations - word problems - integers -1- Two-step equations - word problems - integers 1) Shanice had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost? 2) The sum of three consecutive

More information

Interpreting Graphs. Interpreting a Bar Graph

Interpreting Graphs. Interpreting a Bar Graph 1.1 Interpreting Graphs Before You compared quantities. Now You ll use graphs to analyze data. Why? So you can make conclusions about data, as in Example 1. KEY VOCABULARY bar graph, p. 3 data, p. 3 frequency

More information

XIV. Mathematics, Grade 8

XIV. Mathematics, Grade 8 XIV. Mathematics, Grade 8 Grade 8 Mathematics Test The spring 0 grade 8 Mathematics test was based on learning standards in the five major content strands in the Massachusetts Mathematics Curriculum Framework

More information

2-2 Linear Relations and Functions. So the function is linear. State whether each function is a linear function. Write yes or no. Explain.

2-2 Linear Relations and Functions. So the function is linear. State whether each function is a linear function. Write yes or no. Explain. 1. 2. 3. 4. State whether each function is a linear function. Write yes or no. Explain. The function written as. is linear as it can be + b. cannot be written in the form f (x) = mx So the function is

More information

Math Questions & Answers

Math Questions & Answers What five coins add up to a nickel? five pennies (1 + 1 + 1 + 1 + 1 = 5) Which is longest: a foot, a yard or an inch? a yard (3 feet = 1 yard; 12 inches = 1 foot) What do you call the answer to a multiplication

More information

Summer Math Exercises. For students who are entering. Pre-Calculus

Summer Math Exercises. For students who are entering. Pre-Calculus Summer Math Eercises For students who are entering Pre-Calculus It has been discovered that idle students lose learning over the summer months. To help you succeed net fall and perhaps to help you learn

More information

1.6. Solve Linear Inequalities E XAMPLE 1 E XAMPLE 2. Graph simple inequalities. Graph compound inequalities

1.6. Solve Linear Inequalities E XAMPLE 1 E XAMPLE 2. Graph simple inequalities. Graph compound inequalities .6 Solve Linear Inequalities Before You solved linear equations. Now You will solve linear inequalities. Why? So you can describe temperature ranges, as in Ex. 54. Key Vocabulary linear inequality compound

More information

MATH 185 CHAPTER 2 REVIEW

MATH 185 CHAPTER 2 REVIEW NAME MATH 18 CHAPTER REVIEW Use the slope and -intercept to graph the linear function. 1. F() = 4 - - Objective: (.1) Graph a Linear Function Determine whether the given function is linear or nonlinear..

More information

Name: Domain and Range Sneak Peek: Domain and Range For each problem, answer the questions, complete the table, and graph the relationship. Problem A: Ride tickets at the county fair cost $2 each. 1. Describe

More information

Ratios and Proportional Relationships: Lessons 1-6

Ratios and Proportional Relationships: Lessons 1-6 Unit 7-1 Lesson 1-6 Ratios and Proportional Relationships: Lessons 1-6 Name Date Classwork Book Math 7: Mr. Sanford Lessons 1-6: Proportional Relationship Lesson 1-1 Lesson 1: An Experience in Relationships

More information

Answers for the lesson Solve Linear Systems by Graphing

Answers for the lesson Solve Linear Systems by Graphing LESSON 6.1 Answers for the lesson Solve Linear Systems by Graphing Skill Practice 1. solution 2. Sample answer: Graph both equations and then estimate the point at which the graphs intersect. Then check

More information

Grade. 8 th Grade. 2011 SM C Curriculum

Grade. 8 th Grade. 2011 SM C Curriculum OREGON FOCUS ON MATH OAKS HOT TOPICS TEST PREPARATION WORKBOOK 200-204 8 th Grade TO BE USED AS A SUPPLEMENT FOR THE OREGON FOCUS ON MATH MIDDLE SCHOOL CURRICULUM FOR THE 200-204 SCHOOL YEARS WHEN THE

More information

Slope-Intercept Equation. Example

Slope-Intercept Equation. Example 1.4 Equations of Lines and Modeling Find the slope and the y intercept of a line given the equation y = mx + b, or f(x) = mx + b. Graph a linear equation using the slope and the y-intercept. Determine

More information

2. System of linear equations can be solved by graphing, substitution, or eliminating a variable.

2. System of linear equations can be solved by graphing, substitution, or eliminating a variable. 1 Subject: Algebra 1 Grade Level: 9 th Unit Plan #: 6 UNIT BACKGROUND Unit Title: Systems of Equations and Inequalities Grade Level: 9 Subject/Topic: Algebra 1 Key Words: Graphing, Substitution, Elimination

More information

Relationships Between Two Variables: Scatterplots and Correlation

Relationships Between Two Variables: Scatterplots and Correlation Relationships Between Two Variables: Scatterplots and Correlation Example: Consider the population of cars manufactured in the U.S. What is the relationship (1) between engine size and horsepower? (2)

More information

Lecture 9: Lines. m = y 2 y 1 x 2 x 1

Lecture 9: Lines. m = y 2 y 1 x 2 x 1 Lecture 9: Lines If we have two distinct points in the Cartesian plane, there is a unique line which passes through the two points. We can construct it by joining the points with a straight edge and extending

More information

Final Word Problem Practice #1

Final Word Problem Practice #1 Final Word Problem Practice #1 Beginning Algebra / Math 100 Fall 2013 506 (Prof. Miller) Student Name/ID: Instructor Note: Assignment: Set up a tutoring appointment with one of the campus tutors or with

More information

Lines, Lines, Lines!!! Slope-Intercept Form ~ Lesson Plan

Lines, Lines, Lines!!! Slope-Intercept Form ~ Lesson Plan Lines, Lines, Lines!!! Slope-Intercept Form ~ Lesson Plan I. Topic: Slope-Intercept Form II. III. Goals and Objectives: A. The student will write an equation of a line given information about its graph.

More information

IOWA End-of-Course Assessment Programs. Released Items ALGEBRA I. Copyright 2010 by The University of Iowa.

IOWA End-of-Course Assessment Programs. Released Items ALGEBRA I. Copyright 2010 by The University of Iowa. IOWA End-of-Course Assessment Programs Released Items Copyright 2010 by The University of Iowa. ALGEBRA I 1 Sally works as a car salesperson and earns a monthly salary of $2,000. She also earns $500 for

More information

ALGEBRA I (Common Core) Thursday, January 28, 2016 1:15 to 4:15 p.m., only

ALGEBRA I (Common Core) Thursday, January 28, 2016 1:15 to 4:15 p.m., only ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Thursday, January 28, 2016 1:15 to 4:15 p.m., only Student Name: School Name: The

More information

HOW MUCH WILL I SPEND ON GAS?

HOW MUCH WILL I SPEND ON GAS? HOW MUCH WILL I SPEND ON GAS? Outcome (lesson objective) The students will use the current and future price of gasoline to construct T-charts, write algebraic equations, and plot the equations on a graph.

More information

Multiplying Decimals Word Problems

Multiplying Decimals Word Problems M. Phillips-13 front to back Name: Date: Multiplying Decimals Word Problems Identify the choice that best completes the statement or answers the question. 1) Benjamin bought 12 goldfish. Each goldfish

More information

MA.8.A.1.2 Interpret the slope and the x- and y-intercepts when graphing a linear equation for a real-world problem. Constant Rate of Change/Slope

MA.8.A.1.2 Interpret the slope and the x- and y-intercepts when graphing a linear equation for a real-world problem. Constant Rate of Change/Slope MA.8.A.1.2 Interpret the slope and the x- and y-intercepts when graphing a linear equation for a real-world problem Constant Rate of Change/Slope In a Table Relationships that have straight-lined graphs

More information

Greatest Common Factor

Greatest Common Factor SKILL 10 Name Greatest Common Factor Date The greatest common factor (GCF) of two or more numbers is the greatest number that is a factor of each number. One way to find the greatest common factor is to

More information

MATD 0390 - Intermediate Algebra Review for Pretest

MATD 0390 - Intermediate Algebra Review for Pretest MATD 090 - Intermediate Algebra Review for Pretest. Evaluate: a) - b) - c) (-) d) 0. Evaluate: [ - ( - )]. Evaluate: - -(-7) + (-8). Evaluate: - - + [6 - ( - 9)]. Simplify: [x - (x - )] 6. Solve: -(x +

More information

Lesson 2: Constructing Line Graphs and Bar Graphs

Lesson 2: Constructing Line Graphs and Bar Graphs Lesson 2: Constructing Line Graphs and Bar Graphs Selected Content Standards Benchmarks Assessed: D.1 Designing and conducting statistical experiments that involve the collection, representation, and analysis

More information

The fairy tale Hansel and Gretel tells the story of a brother and sister who

The fairy tale Hansel and Gretel tells the story of a brother and sister who Piecewise Functions Developing the Graph of a Piecewise Function Learning Goals In this lesson, you will: Develop the graph of a piecewise function from a contet with or without a table of values. Represent

More information

Using Excel to Build Understanding in a Pathways Course. Kathleen Almy & Heather Foes Rock Valley College Rockford, Illinois

Using Excel to Build Understanding in a Pathways Course. Kathleen Almy & Heather Foes Rock Valley College Rockford, Illinois Using Excel to Build Understanding in a Pathways Course Kathleen Almy & Heather Foes Rock Valley College Rockford, Illinois Keurig vs. Starbucks Suppose you buy a venti latte every day at Starbucks. Is

More information

Five Ways to Solve Proportion Problems

Five Ways to Solve Proportion Problems Five Ways to Solve Proportion Problems Understanding ratios and using proportional thinking is the most important set of math concepts we teach in middle school. Ratios grow out of fractions and lead into

More information

#1 Automobile Problems (answer key at end)

#1 Automobile Problems (answer key at end) #1 Automobile Problems (answer key at end) 1. A car is traveling at 60 mph and is tailgating another car at distance of only 30 ft. If the reaction time of the tailgater is 0.5 seconds (time between seeing

More information

Worksheet A5: Slope Intercept Form

Worksheet A5: Slope Intercept Form Name Date Worksheet A5: Slope Intercept Form Find the Slope of each line below 1 3 Y - - - - - - - - - - Graph the lines containing the point below, then find their slopes from counting on the graph!.

More information

1. Which of the 12 parent functions we know from chapter 1 are power functions? List their equations and names.

1. Which of the 12 parent functions we know from chapter 1 are power functions? List their equations and names. Pre Calculus Worksheet. 1. Which of the 1 parent functions we know from chapter 1 are power functions? List their equations and names.. Analyze each power function using the terminology from lesson 1-.

More information

Section 3.1 Quadratic Functions and Models

Section 3.1 Quadratic Functions and Models Section 3.1 Quadratic Functions and Models DEFINITION: A quadratic function is a function f of the form fx) = ax 2 +bx+c where a,b, and c are real numbers and a 0. Graphing Quadratic Functions Using the

More information

Name: Class: Date: ID: A

Name: Class: Date: ID: A Class: Date: Slope Word Problems 1. The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What

More information

5.1 Understanding Linear Functions

5.1 Understanding Linear Functions Name Class Date 5.1 Understanding Linear Functions Essential Question: What is a linear function? Resource Locker Eplore 1 Recognizing Linear Functions A race car can travel up to 210 mph. If the car could

More information

Concept 7: Writing Linear Equations

Concept 7: Writing Linear Equations Concept 7: Writing Linear Equations Level 2 1. Watch the video (Writing Linear Equations: Level 2) 2. Complete the Notes & Basic Practice 3. Complete 2 of the following tasks IXL Practice Worksheets Creating

More information

Slope-Intercept Form of a Linear Equation Examples

Slope-Intercept Form of a Linear Equation Examples Slope-Intercept Form of a Linear Equation Examples. In the figure at the right, AB passes through points A(0, b) and B(x, y). Notice that b is the y-intercept of AB. Suppose you want to find an equation

More information

Why should we learn this? One real-world connection is to find the rate of change in an airplane s altitude. The Slope of a Line VOCABULARY

Why should we learn this? One real-world connection is to find the rate of change in an airplane s altitude. The Slope of a Line VOCABULARY Wh should we learn this? The Slope of a Line Objectives: To find slope of a line given two points, and to graph a line using the slope and the -intercept. One real-world connection is to find the rate

More information

Math Refresher. Book #2. Workers Opportunities Resources Knowledge

Math Refresher. Book #2. Workers Opportunities Resources Knowledge Math Refresher Book #2 Workers Opportunities Resources Knowledge Contents Introduction...1 Basic Math Concepts...2 1. Fractions...2 2. Decimals...11 3. Percentages...15 4. Ratios...17 Sample Questions...18

More information

Two-step equations - word problems - integers

Two-step equations - word problems - integers -1- Two-step equations - word problems - integers 1) Huong had $23 to spend on six notebooks. After buying them she had $11. How much did each notebook cost? 2) You had $20 to spend on seven advocados.

More information

Direct Variation. COMPUTERS Use the graph at the right that shows the output of a color printer.

Direct Variation. COMPUTERS Use the graph at the right that shows the output of a color printer. 9-5 Direct Variation MAIN IDEA Use direct variation to solve problems. New Vocabular direct variation constant of variation Math nline glencoe.com Etra Eamples Personal Tutor Self-Check Quiz CMPUTERS Use

More information

North Carolina Community College System Diagnostic and Placement Test Sample Questions

North Carolina Community College System Diagnostic and Placement Test Sample Questions North Carolina Communit College Sstem Diagnostic and Placement Test Sample Questions 0 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College

More information

Summer Math Packet. For Students Entering Grade 5 $3.98. Student s Name 63 9 = Review and Practice of Fairfield Math Objectives and CMT Objectives

Summer Math Packet. For Students Entering Grade 5 $3.98. Student s Name 63 9 = Review and Practice of Fairfield Math Objectives and CMT Objectives Summer Math Packet 63 9 = Green Yellow Green Orange Orange Yellow $3.98 1 Green A B C D Red 8 1 2 3 4 5 Student s Name June 2013 Review and Practice of Fairfield Math Objectives and CMT Objectives 1 Summer

More information

ALGEBRA I (Common Core) Tuesday, June 3, 2014 9:15 a.m. to 12:15 p.m., only

ALGEBRA I (Common Core) Tuesday, June 3, 2014 9:15 a.m. to 12:15 p.m., only ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Tuesday, June 3, 2014 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The

More information

Solving Equations Involving Parallel and Perpendicular Lines Examples

Solving Equations Involving Parallel and Perpendicular Lines Examples Solving Equations Involving Parallel and Perpendicular Lines Examples. The graphs of y = x, y = x, and y = x + are lines that have the same slope. They are parallel lines. Definition of Parallel Lines

More information

Homework 1 1. Calculus. Homework 1 Due Date: September 26 (Wednesday) 60 1.75x 220 270 160 x 280. R = 115.95x. C = 95x + 750.

Homework 1 1. Calculus. Homework 1 Due Date: September 26 (Wednesday) 60 1.75x 220 270 160 x 280. R = 115.95x. C = 95x + 750. Homework 1 1 Calculus Homework 1 Due Date: September 26 (Wednesday) 1. A doughnut shop sells a dozen doughnuts for $4.50. Beyond the fixed cost of $220 per day, it costs $2.75 for enough materials and

More information

Graphs of Proportional Relationships

Graphs of Proportional Relationships Graphs of Proportional Relationships Student Probe Susan runs three laps at the track in 12 minutes. A graph of this proportional relationship is shown below. Explain the meaning of points A (0,0), B (1,),

More information

4. 32 cookies were divided among some children. Each child got 4 cookies. How many children were there?

4. 32 cookies were divided among some children. Each child got 4 cookies. How many children were there? Assessment Test for Singapore Primary Mathematics 2B U.S. Edition This test covers material taught in Primary Mathematics 2B, U.S. Edition (http://www.singaporemath.com/) 1. Fill in the blanks with the

More information

Diving Into Spending Plans Grade Level 7-9

Diving Into Spending Plans Grade Level 7-9 2.15.1 Diving Into Spending Plans Grade Level 7-9 Get Ready to Take Charge of Your Finances Time to complete: 60 minutes National Content Standards Family and Consumer Science Standards: 1.1.6, 2.1.1,

More information

How to Study for Class 4: The Determinants of Demand and Supply

How to Study for Class 4: The Determinants of Demand and Supply 1 How to Study for Class 4: The Determinants of Demand and Supply Chapter 4 introduces the factors that will shift the shift plus two new elasticity concepts. 1. Begin by looking over the Objectives listed

More information

Mathematics Test Book 2

Mathematics Test Book 2 Mathematics Test Grade 6 March 6 12, 2008 Name 20298 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703.

More information

Math and FUNDRAISING. Ex. 73, p. 111 1.3 0. 7

Math and FUNDRAISING. Ex. 73, p. 111 1.3 0. 7 Standards Preparation Connect 2.7 KEY VOCABULARY leading digit compatible numbers For an interactive example of multiplying decimals go to classzone.com. Multiplying and Dividing Decimals Gr. 5 NS 2.1

More information

Write the Equation of the Line Review

Write the Equation of the Line Review Connecting Algebra 1 to Advanced Placement* Mathematics A Resource and Strategy Guide Objective: Students will be assessed on their ability to write the equation of a line in multiple methods. Connections

More information

Teacher Resource Sampler. Includes Spanish Resources

Teacher Resource Sampler. Includes Spanish Resources Teacher Resource Sampler Includes Spanish Resources -6-5 9 0 0 0 0 online access to 0-13-31859-. S LEARNING Go beyond the tetbook with Pearson Algebra 1 Pearson Algebra 1 Common Core Edition 015 provides

More information

EXPONENTIAL FUNCTIONS 8.1.1 8.1.6

EXPONENTIAL FUNCTIONS 8.1.1 8.1.6 EXPONENTIAL FUNCTIONS 8.1.1 8.1.6 In these sections, students generalize what they have learned about geometric sequences to investigate exponential functions. Students study exponential functions of the

More information

ECN 221 Chapter 5 practice problems This is not due for a grade

ECN 221 Chapter 5 practice problems This is not due for a grade ECN 221 Chapter 5 practice problems This is not due for a grade 1. Assume the price of pizza is $2.00 and the price of Beer is $1.00 and that at your current levels of consumption, the Marginal Utility

More information

Demand. Lecture 3. August 2015. Reading: Perlo Chapter 4 1 / 58

Demand. Lecture 3. August 2015. Reading: Perlo Chapter 4 1 / 58 Demand Lecture 3 Reading: Perlo Chapter 4 August 2015 1 / 58 Introduction We saw the demand curve in chapter 2. We learned about consumer decision making in chapter 3. Now we bridge the gap between the

More information

Chapter 5. Linear Inequalities and Linear Programming. Linear Programming in Two Dimensions: A Geometric Approach

Chapter 5. Linear Inequalities and Linear Programming. Linear Programming in Two Dimensions: A Geometric Approach Chapter 5 Linear Programming in Two Dimensions: A Geometric Approach Linear Inequalities and Linear Programming Section 3 Linear Programming gin Two Dimensions: A Geometric Approach In this section, we

More information

For additional information, see the Math Notes boxes in Lesson B.1.3 and B.2.3.

For additional information, see the Math Notes boxes in Lesson B.1.3 and B.2.3. EXPONENTIAL FUNCTIONS B.1.1 B.1.6 In these sections, students generalize what they have learned about geometric sequences to investigate exponential functions. Students study exponential functions of the

More information

RELEASED. North Carolina READY End-of-Grade Assessment Mathematics. Grade 8. Student Booklet

RELEASED. North Carolina READY End-of-Grade Assessment Mathematics. Grade 8. Student Booklet REVISED 7/4/205 Released Form North Carolina READY End-of-Grade Assessment Mathematics Grade 8 Student Booklet Academic Services and Instructional Support Division of Accountabilit Services Copright 203

More information

1.6 A LIBRARY OF PARENT FUNCTIONS. Copyright Cengage Learning. All rights reserved.

1.6 A LIBRARY OF PARENT FUNCTIONS. Copyright Cengage Learning. All rights reserved. 1.6 A LIBRARY OF PARENT FUNCTIONS Copyright Cengage Learning. All rights reserved. What You Should Learn Identify and graph linear and squaring functions. Identify and graph cubic, square root, and reciprocal

More information

Big Bend Community College. Beginning Algebra MPC 095. Lab Notebook

Big Bend Community College. Beginning Algebra MPC 095. Lab Notebook Big Bend Community College Beginning Algebra MPC 095 Lab Notebook Beginning Algebra Lab Notebook by Tyler Wallace is licensed under a Creative Commons Attribution 3.0 Unported License. Permissions beyond

More information

Activity- The Energy Choices Game

Activity- The Energy Choices Game Activity- The Energy Choices Game Purpose Energy is a critical resource that is used in all aspects of our daily lives. The world s supply of nonrenewable resources is limited and our continued use of

More information

6. In general, over longer periods, demand tends to become (A) More elastic (B) Perfectly elastic (C) Perfectly inelastic (D) Less elastic

6. In general, over longer periods, demand tends to become (A) More elastic (B) Perfectly elastic (C) Perfectly inelastic (D) Less elastic 5. The demand for a good is said to be inelastic if (A) More units will be purchased if price increases (B) The percentage change in quantity demanded is greater than the percentage in price (C) The demand

More information

Blue Pelican Alg II First Semester

Blue Pelican Alg II First Semester Blue Pelican Alg II First Semester Teacher Version 1.01 Copyright 2009 by Charles E. Cook; Refugio, Tx (All rights reserved) Alg II Syllabus (First Semester) Unit 1: Solving linear equations and inequalities

More information

XII. Mathematics, Grade 6

XII. Mathematics, Grade 6 XII. Mathematics, Grade 6 Grade 6 Mathematics Test The spring 04 grade 6 Mathematics test was based on standards in the five domains for grade 6 in the Massachusetts Curriculum Framework for Mathematics

More information

Math 1 Chapter 3 notes.notebook. October 22, 2012. Examples

Math 1 Chapter 3 notes.notebook. October 22, 2012. Examples Chapter 3 SOLVING LINEAR EQUATIONS!! Lesson 3 1 Solve one step equations Key Vocab: Inverse operations: are two operations that undo each other. Addition and subtraction Multiplication and division equivalent

More information

Algebra Bridge Project Cell Phone Plans

Algebra Bridge Project Cell Phone Plans Algebra Bridge Project Cell Phone Plans Name Teacher Part I: Two Cell Phone Plans You are in the market for a new cell phone, and you have narrowed your search to two different cell phone companies --

More information

The level of price and inflation Real GDP: the values of goods and services measured using a constant set of prices

The level of price and inflation Real GDP: the values of goods and services measured using a constant set of prices Chapter 2: Key Macroeconomics Variables ECON2 (Spring 20) 2 & 4.3.20 (Tutorial ) National income accounting Gross domestic product (GDP): The market value of all final goods and services produced within

More information

Algebra 1 Practice Keystone Exam

Algebra 1 Practice Keystone Exam Algebra 1 Practice Keystone Exam 1. Which of the following inequalities is true for ALL real values of x? a. x 3! x 2 b. 3x 2! 2x 3 c. (2x) 2! 3x 2 d. 3(x! 2) 2 " 3x 2! 2 2. An expression is shown to the

More information

Lesson 1: Posing Statistical Questions

Lesson 1: Posing Statistical Questions Student Outcomes Students distinguish between statistical questions and those that are not statistical. Students formulate a statistical question and explain what data could be collected to answer the

More information

Understanding Income and Expenses EPISODE # 123

Understanding Income and Expenses EPISODE # 123 Understanding Income and Expenses EPISODE # 123 LESSON LEVEL Grades 4-6 KEY TOPICS Entrepreneurship Income and expenses Cash flow LEARNING OBJECTIVES 1. Understand what your income and expenses are. 2.

More information

Answer Key Building Polynomial Functions

Answer Key Building Polynomial Functions Answer Key Building Polynomial Functions 1. What is the equation of the linear function shown to the right? 2. How did you find it? y = ( 2/3)x + 2 or an equivalent form. Answers will vary. For example,

More information

Solving Special Systems of Linear Equations

Solving Special Systems of Linear Equations 5. Solving Special Sstems of Linear Equations Essential Question Can a sstem of linear equations have no solution or infinitel man solutions? Using a Table to Solve a Sstem Work with a partner. You invest

More information

IV. ALGEBRAIC CONCEPTS

IV. ALGEBRAIC CONCEPTS IV. ALGEBRAIC CONCEPTS Algebra is the language of mathematics. Much of the observable world can be characterized as having patterned regularity where a change in one quantity results in changes in other

More information

Chapter 3 Consumer Behavior

Chapter 3 Consumer Behavior Chapter 3 Consumer Behavior Read Pindyck and Rubinfeld (2013), Chapter 3 Microeconomics, 8 h Edition by R.S. Pindyck and D.L. Rubinfeld Adapted by Chairat Aemkulwat for Econ I: 2900111 1/29/2015 CHAPTER

More information

The Slope-Intercept Form

The Slope-Intercept Form 7.1 The Slope-Intercept Form 7.1 OBJECTIVES 1. Find the slope and intercept from the equation of a line. Given the slope and intercept, write the equation of a line. Use the slope and intercept to graph

More information

ALGEBRA I (Common Core)

ALGEBRA I (Common Core) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Tuesday, June 3, 2014 9:15 a.m. MODEL RESPONSE SET Table of Contents Question 25................... 2 Question

More information

LESSON 2 -- RENTING A PLACE TO LIVE

LESSON 2 -- RENTING A PLACE TO LIVE LESSON 2 -- RENTING A PLACE TO LIVE LESSON DESCRIPTION AND BACKGROUND This lesson uses the Better Money Habits video The True Cost of Renting a Place (www.bettermoneyhabits.com) to help students will learn

More information