Chapter Start Thinking! For use before Activity 6.1. For use before Activity Start Thinking! For use before Lesson


 Brittany McDowell
 3 years ago
 Views:
Transcription
1 . Enrichment and Etension. a =, b =. a =, b =. a =, b =. a =, b =. a =, b is an number ecept.. a =, b =. a =, b =. a =, b =. Check students work.. Puzzle PAY HIM Etension. Start Thinking! For use before Etension. Sample answer: The graph shows the linear equations related to each side of the equation. The coordinate of the point of intersection is the solution of the equation. Etension. Warm Up For use before Etension.. m =. =. p =. =. r =. = Etension. Practice. =. =. =. =. no; You cannot have CDs.. =. =.. no; The graph of the sstem = and = is a pair of parallel lines.. a. = b. $ c. $ d. Sample answer: the cost of the lemonade Technolog Connection. (, ). (., ). (, ). (, ) Chapter. Start Thinking! For use before Activit. will var depending on the cost of milk. For eample, if one milk costs $., then the entries in the mapping diagram would be $., $., $., and $.. A mapping diagram maps one value to another.. Warm Up For use before Activit.. =... =.. Start Thinking! For use before Lesson. =. =. =. = The output is. Observe students plaing the Guess the Function Game.. Warm Up For use before Lesson.. Add ; missing entries are,, and.. Multipl b ; missing entries are,, and.. Practice A. As each input increases b, the output increases b. Input. As each input increases b, the output increases b. Input A Copright Big Ideas Learning, LLC
2 . (, ), (, ), (, ), (, ). (,, ) (,, ) (,, ) (, ). Input. Input. a. Input b. Ever input has eactl one output. So, the relation is a function. c. For each additional ticket purchased, the price per ticket decreases $. d. $ e. The cost is the same, ou should invite two more friends and get tickets rather than tickets. f. If the pattern continued, the cost for tickets would be $.. Practice B. (,, ) (,, ) (,, ) (, ). (,, ) (,, ) (,, ) (, ). Input As each input increases b, the output decreases b.. a. $., $., $., $. b. Input c. Ever input has eactl one output. So, the relation is a function. d. (, ), (,. ), (,. ), (,. ), (, ), (,. ), (,. ) e f. The cost is $ for the first minute and $. for ever additional minute.. Input. Input. Enrichment and Etension. function; Each input is paired with eactl one output.. function; Each input is paired with eactl one output.. not a function; The input has two outputs, and.. Input As each input increases b, the output increases b (or each output is more than the input).. not a function; The input has two outputs, and.. a. Sample answer: b. Sample answer: Input Input Copright Big Ideas Learning, LLC A
3 . a. Sample answer: b. Sample answer: Input Input. a. Sample answer: (, ) b. Sample answer: (, ). a. Sample answer: (, ) b. Sample answer: (, ). Practice A. = +. =. =. =. =. =. =. =.. O O. a. Sample answer: (, ) b. Sample answer: (, ). Puzzle TULIPS. Start Thinking! For use before Activit. = ; If the length is meters and the width is meters, then the area is the product of the length and width.. Warm Up For use before Activit.. (, ). (, ). Start Thinking! For use before Lesson. Sample answer: The cost of buing apples at $. per apple can be represented b the equation =.. The variable represents the number of apples and represents the total cost. Input,. Warm Up For use before Lesson...,... =. = + =. =... a. d = h b. d = miles. a. s = a b. s = $. c. a = $. Practice B. = +. =. =. =. =. =... a. d = h b. d = miles. =. =. a. P =.b b. b = bags. P A = O O O O A Copright Big Ideas Learning, LLC
4 . Enrichment and Etension. f ( ) =. f ( ) =. f ( ) = +. ( ). f ( ) f ( ) f ( ) =, =, = f = +.. Practice A. f ( ) f ( ) f ( ) =, =, =. f ( ) f ( ) f ( ) =, =, =. f ( ) f ( ) f ( ) =, =, =. f ( ) f ( ) f ( ) =, =, =. = +.. =.. a. independent variable: dependent variable: = =. f ( ) f ( ) f ( ) =, =, = =, =, or, =. f ( ) f ( ) f ( ). f ( ) f ( ) f ( ) =, =., =.. f ( ) f ( ) f ( ) =, =, =. Sample answer: f ( ) =. Puzzle YOU DON T HAVE TO TELL ME IT IS ALL OVER TOWN. Start Thinking! For use before Activit. will var. Check students sketches, tables, and graphs.. Warm Up For use before Activit.. = +. = +. Start Thinking! For use before Lesson. Sample answer: A linear function has a graph in which the points fall on a line. The function = is an eample of a linear function.. Warm Up For use before Lesson.. = b. = ; It costs about $. for fluid ounce of brewed coffee. c. d. $. a. independent variable: dependent variable: b. = c. Cost Area d. ft Fluid ounces Height. Practice B. =. =. =. = +. The variable represents the side length of a square; the variable represents the perimeter. Copright Big Ideas Learning, LLC A
5 . a. independent variable: dependent variable: b. =. ; It takes. minute to make burrito. c. d.. min. a. independent variable: dependent variable: b. = c. d. mi e. r = mi h f. h. Enrichment and Etension. At iteration, ou have a completel shaded bo. To go from iteration to iteration, ou split the bo into smaller blocks, keep the bo in the upper left corner, and delete ever other bo thereafter.. Each of the smaller boes in iteration is similar to the original bo in iteration.. Miles Iteration Burritos Hours Number of Squares. At each iteration, the number of squares multiplies b ; After the first iteration, the iteration number tells ou how man factors of to multipl together to determine the number of squares.. no; There is no number that can be added to the number of squares each time to produce the net amount of squares.. The pattern will repeat an infinite number of times. Part of the area of the original bo will alwas remain. So, ou can keep appling the procedure of deleting some boes and keeping others.. Puzzle FROSTBITE. Start Thinking! For use before Activit. The height of a plane during takeoff is linear. The others are nonlinear. Check students graphs.. Warm Up For use before Activit.. cm; cm. cm; cm. ft; ft. in.; in.. Start Thinking! For use before Lesson. Sample answer: The cost of admission for people is linear. The length of time ou wait in line at each ride is nonlinear.. Warm Up For use before Lesson... linear.. nonlinear nonlinear linear O A Copright Big Ideas Learning, LLC
6 . Practice A. linear. nonlinear. nonlinear; The graph is not a line.. linear; The graph is a line.. nonlinear; The rate of change is not constant.. linear; The rate of change is constant.. nonlinear; The rate of change is not constant.. a. Sample answer: b.. c. =..; It costs $. for ounce of cereal.. Practice B. nonlinear. linear. linear; The graph is a line.. nonlinear; The graph is not a line.. nonlinear; The equation cannot be written in slopeintercept form.. linear; The equation can be written in slopeintercept form.. linear; The rate of change is constant.. a. nonlinear; Commission does not show constant change. b. $. nonlinear; The equation cannot be written in slopeintercept form. Copright Big Ideas Learning, LLC. Enrichment and Etension. Sample answer: Talor earns $ for allowance each week. The amount of mone she earns in weeks is a linear function. Aiden earns $ per chore that he completes each week. Some weeks he does all of his chores, but other weeks he does not. The amount of mone he earns in weeks is a nonlinear function.. Sample answer: The cost of buing one song is $.. The cost of buing songs is a linear function. The length of each song on a CD is different. If ou graph the song length versus the track number, it is likel a nonlinear function.. Sample answer: Maddie is allowed to watch one hour of television per da. The amount of time she is allowed to watch television in das is a linear function. Haden is allowed to watch television each da after he finishes his homework. Assuming that his homework takes different amounts of time to finish each da, the amount of time he spends watching television is a nonlinear function.. Sample answer: The cost of a plane ticket is $. The cost for people is a linear function. An airplane s altitude versus time during a flight is a nonlinear function.. Sample answer: The perimeter of a square with side length is a linear function. The area of a square with side length is a nonlinear function.. Sample answer: The cost of a medium drink at the food court is $. The cost of medium drinks is a linear function. The number of cars parked at a shopping mall throughout the da is a nonlinear function.. nonlinear. Sample answer: The initial temperature is room temperature, about degrees. After minute, the oven is turned on and takes about minutes to preheat. The oven door is opened around minute and again at minute. So the cookies took minutes to bake. The oven was turned off around minute.. Sample answer: Once the oven reaches the desired temperature, the heating element shuts off. When it cools a certain amount, about degrees, the heating element turns on again, and so on.. ; A
7 . Puzzle YOUR NAME. Start Thinking! For use before Activit. Sample answer: The graph of a linear function shows a constant rate of change. For eample, = +. The graph of a nonlinear function does not have a constant rate of change. For eample, = +.. Warm Up For use before Activit.... Practice A. Sample answer: The speed of the wind increases at an increasing rate, then decreases at a constant rate, increases at an increasing rate, decreases at a constant rate, and then increases at an increasing rate.. Sample answer: The grass grows at a constant rate, then is cut (thus decreasing the height). This is repeated.. Sample answer: The height of the airplane decreases at an increasing rate and then decreases at a decreasing rate.. Sample answer: The number of gallons of gasoline in the tank increases at a constant rate.. a. Sample answer: The number of cars in the parking lot is increasing at an increasing rate. b. Sample answer: The number of cars in the parking lot is decreasing at an increasing rate... Flu Virus. Cases Sales Cell Phone. Start Thinking! For use before Lesson. Shopping Dollars. Degrees Fahrenheit Temperature. Warm Up For use before Lesson.. The speed of the car accelerates for a while, then is at a constant rate, then accelerates again, then is at a constant rate before slowing to a stop.. Sales increase for a period of time, then the level out for a while before increasing again.. Practice B. Sample answer: The number of customers increases at a constant rate and then decreases at a constant rate.. Sample answer: The height increases at an increasing rate and then increases at a decreasing rate.. Sample answer: The cost of the postage remains constant, then jumps, remains constant, then jumps, and repeats this pattern. A Copright Big Ideas Learning, LLC
8 . Sample answer: The height of the water decreases at a constant rate, remains the same, decreases at a constant rate, remains the same, and then decreases at a constant rate.. a. Sample answer: The Demand curve remains constant. The Suppl curve decreases at an increasing rate. b. The left side represents a surplus. The right side represents a shortage. Sample answer: On the left side suppl is greater than the demand. On the right side demand is greater than the suppl. c. Sample answer: The equilibrium point moves up and left, so a shortage occurs sooner.. Enrichment and Etension. Sample answers are given.. discrete data; Onl integers between and make sense.. discrete data; There will be one fied amount of mone each ear.. discrete data; Onl positive integers make sense.. continuous data; It makes sense to use an number for the weight of people.. continuous data; It makes sense to use an number for the distance.. Puzzle PIANO Technolog Connection. Sample answer: Yes, the point (, ) disappears and is replaced b the point (, ).. Sample answer: Yes, the point (, ) disappears and is replaced b the point (, ).. Sample answer: The graph does not add the new value. You must make a new graph to incorporate the new data point.. Sample answer: no; You must select the data ou want for a new graph.. Sample answer: A scatter plot using color for (, ) and another for (, ). The second set of points is units above the first set.. Sample answer: Scatter plots that connect the points with smooth curves or straight lines are a good choice of plots. Chapter. Start Thinking! For use before Activit. Sample answer: no; The lengths of the sides can be an two lengths that have the given product; Yes; because the sides of a square are the same length, the area is the square of the side length. For eample, if the area is square meters, then the length of each side would be meters.. Warm Up For use before Activit Start Thinking! For use before Lesson. Shelle; the solutions are and.. Warm Up For use before Lesson.. in.. cm. d.. m. Practice A. s = in.. r = m. ±.... ±..... >.. <.. r = ft. = widgets. s = in.. Practice B. s = cm. r = d. ±. ±.. ±... ± s = m >. =. r = m Copright Big Ideas Learning, LLC A
2. Bunny Slope:, Medium Trail: 4. 58; The starting height of the trail is 58 meters ; The length of the trail is 1450 meters.
...7 Start Thinking! For use before Lesson.7 Sample answer: If ou need to write the equation of a line given the slope and a point on the line, ou can find the intercept (either graphicall or algebraicall).
More information5.7 Start Thinking. 5.7 Warm Up. 5.7 Cumulative Review Warm Up
.7 Start Thinking Graph the linear inequalities < + and > 9 on the same coordinate plane. What does the area shaded for both inequalities represent? What does the area shaded for just one of the inequalities
More informationAnswers. Chapter 4 A15
. =. Sample answer:. a. B is congruent to itself. A and D have the same line of sight, and so the are congruent. Because two angles are congruent, the third angles are congruent. Because the triangles
More informationName Date. and y = 5.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
More informationFair Game Review. Chapter = How many calculators are sold when the profit is $425? Solve the equation. Check your solution.
Name Date Chapter 4 Fair Game Review Solve the equation. Check our solution.. 8 3 = 3 2. 4a + a = 2 3. 9 = 4( 3k 4) 7k 4. ( m) 2 5 6 2 = 8 5. 5 t + 8t = 3 6. 3 5h 2 h + 4 = 0 2 7. The profit P (in dollars)
More informationSolve each system by graphing. Check your solution. y =3x x + y = 5 y =7
Practice Solving Sstems b Graphing Solve each sstem b graphing. Check our solution. 1. = + 3 =  (1, ). = 1  (, 1) =3 + 5 3. = 3 + + = 1 (, 3). =5 =  7. = 35 3  = 0 (1, 5) 5. 3 + = 5 =7 (, 7).
More informationFair Game Review. Chapter 2. and y = 5. Evaluate the expression when x = xy 2. 4x. Evaluate the expression when a = 9 and b = 4.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
More informationc. Find the slope and yintercept of the graph of the linear equation. Then sketch its graph.
Name Solve. EndofCourse. 7 =. 5 c =. One cell phone plan charges $0 per month plus $0.5 per minute used. A second cell phone plan charges $5 per month plus $0.0 per minute used. Write and solve an equation
More informationAnalytic Geometry 300 UNIT 9 ANALYTIC GEOMETRY. An air traffi c controller uses algebra and geometry to help airplanes get from one point to another.
UNIT 9 Analtic Geometr An air traffi c controller uses algebra and geometr to help airplanes get from one point to another. 00 UNIT 9 ANALYTIC GEOMETRY Copright 00, K Inc. All rights reserved. This material
More informationFair Game Review. Chapter 5. feet and the length is 2x feet. Find the. perimeter of the garden. 24x 5 3. Name Date. Simplify the expression. 6.
Name Date Chapter 5 Fair Game Review Simplif the expression. 1. 2x + 5 x 2. 4 + 2d 4d 3. 7 8 + 6 3 4. 5 + 4z 3 + 3z 5. 4( s + 2) + s 1 6. ( ) 24x 5 3 7. The width of a garden is ( 4x 1) perimeter of the
More informationSystems of Linear Inequalities
. Sstems of Linear Inequalities sstem of linear inequalities? How can ou sketch the graph of a ACTIVITY: Graphing Linear Inequalities Work with a partner. Match the linear inequalit with its graph. + Inequalit
More informationWhat You ll Learn Identify direct variation. Use direct variation to solve problems.
AM_S_C_L_3.indd Page // 3: PM suser /Volumes//GO/CORE_READING/TENNESSEE/ANCILLARY... Proportionalit and Linear Relationships Teach the Concept Lesson  Direct Variation Interactive Stud Guide See pages
More informationAnswers. Chapter Warm Up. Sample answer: The graph of f is a translation 3 units right of the parent linear function.
Chapter. Start Thinking As the string V gets wider, the points on the string move closer to the ais. This activit mimics a vertical shrink of a parabola... Warm Up.. Sample answer: The graph of f is a
More informationFunctions. Essential Question What is a function?
3. Functions COMMON CORE Learning Standard HSFIF.A. Essential Question What is a function? A relation pairs inputs with outputs. When a relation is given as ordered pairs, the coordinates are inputs
More informationFunctions. Essential Question What is a function? Work with a partner. Functions can be described in many ways.
. Functions Essential Question What is a function? A relation pairs inputs with outputs. When a relation is given as ordered pairs, the coordinates are inputs and the coordinates are outputs. A relation
More informationChapter 4. Chapter 4 Opener. Section 4.1. Big Ideas Math Blue WorkedOut Solutions. x 2. Try It Yourself (p. 147) x 0 1. y ( ) x 2
Chapter Chapter Opener Tr It Yourself (p. 7). As the input decreases b, the output increases b.. Input As the input increases b, the output increases b.. As the input decreases b, the output decreases
More informationBridgeThickness Experiment. Student 2
Applications 1. Below are some results from the bridgethickness eperiment. BridgeThickness Eperiment Thickness (laers) Breaking Weight (pennies) 15 5 5 a. Plot the (thickness, breaking weight) data.
More information2.3 Start Thinking. 2.3 Warm Up. 2.3 Cumulative Review Warm Up
. Start Thinking Choose an two numbers and compare them with an inequalit smbol ( < or > ). Multipl each number b 1. Is the new inequalit still true? Continue this eercise b dividing the original inequalit
More information3.6 Start Thinking. 3.6 Warm Up. 3.6 Cumulative Review Warm Up. = 2. ( q )
.6 Start Thinking Graph the lines = and =. Note the change in slope of the line. Graph the line = 0. What is happening to the line? What would the line look like if the slope was changed to 00? 000? What
More informationChapter 9 BUILD YOUR VOCABULARY
C H A P T E R 9 BUILD YUR VCABULARY Chapter 9 This is an alphabetical list of new vocabular terms ou will learn in Chapter 9. As ou complete the stud notes for the chapter, ou will see Build Your Vocabular
More information5.1. Puzzle Time. What Do You Get If You Cross A Duck With A Firework? Write the letter of each answer in the box containing the exercise number.
. Puzzle Time What Do You Get If You Cross A Duck With A Firework? Write the letter of each answer in the bo containing the eercise number. Find the product.. tbsp 0 cal. tbsp lb $.9 lb P. cal Q. 80 cal
More informationin cm 3. 1 yd m > <
. Sample answer: The height of the water decreases at a constant rate, remains the same, decreases at a constant rate, remains the same, and then decreases at a constant rate. a. Sample answer: The Demand
More informationACCELERATED MATHEMATICS CHAPTER 7 NONPROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED:
ACCELERATED MATHEMATICS CHAPTER 7 NONPROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED: Representing Linear NonProportional Equations Slope & Intercept Graphing Using Slope & Intercept Proportional
More information4.2 Start Thinking. 4.2 Warm Up. 4.2 Cumulative Review Warm Up
. Start Thinking How can ou find a linear equation from a graph for which ou do not know the intercept? Describe a situation in which ou might know the slope but not the intercept. Provide a graph of
More informationAlgebra 1, Semester 1 Exam Review
Algebra, Semester Exam Review What is an algebraic expression for the word phrase?. the sum of n and 9 A. n 9 n + 9 D. 9n. the difference of r and A. r + r D. r. the quotient of j and 8 A. 8j j 8 D. j
More informationb(n) = 4n, where n represents the number of students in the class. What is the independent
Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing movie tickets that sell for $ each C The cost,, after a $ discount,
More informationTHIS IS A CLASS SET  DO NOT WRITE ON THIS PAPER
THIS IS A CLASS SET  DO NOT WRITE ON THIS PAPER ALGEBRA EOC PRACTICE Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing
More informationLESSON #11  FORMS OF A LINE COMMON CORE ALGEBRA II
LESSON #  FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS
More informationFair Game Review. Chapter of a mile the next day. How. far will you jog over the next two days? How many servings does the
Name Date Chapter Evaluate the epression.. Fair Game Review 5 +. 3 3 7 3 8 4 3. 4 4. + 5 0 5 6 5. 3 6. 4 6 5 4 6 3 7. 5 8. 3 9 8 4 3 5 9. You plan to jog 3 4 of a mile tomorrow and 7 8 of a mile the net
More informationSystems of Linear Equations
Sstems of Linear Equations Monetar Sstems Overload Lesson 31 Learning Targets: Use graphing, substitution, and elimination to solve sstems of linear equations in two variables. Formulate sstems of linear
More information7.1 Guided Practice (p. 401) 1. to find an ordered pair that satisfies each of the equations in the system. solution of the system.
CHAPTER 7 Think and Discuss (p. 9). 6,00,000 units. 0,00,000 6,00,000 4,400,000 renters Skill Review (p. 96) 9r 4r 6r. 8.. 0.d.d d 4. w 4 w 4 w 4 w 4 w. 6. 7 g g 9 g 7 g 6 g 0 7 8 40 40 40 7. 6 8. 8 9....
More informationReady To Go On? Skills Intervention 21 Solving Linear Equations and Inequalities
A Read To Go n? Skills Intervention 1 Solving Linear Equations and Inequalities Find these vocabular words in Lesson 1 and the Multilingual Glossar. Vocabular equation solution of an equation linear
More informationAlgebra 1 Honors First Semester Review
Permitted resources: Algebra 1 Honors First Semester Review TI108 (or similar basic four function calculator) Algebra 1 and Geometr EOC Reference Sheet 4. Identif the mapping diagram that represents the
More informationA calculator may be used on the exam.
The Algebra Semester A eamination has the following tpes of questions: Selected Response Student Produced Response (Gridin) Brief Constructed Response (BCR) Etended Constructed Response (ECR) Short Answer
More informationMATH GRADE 8 UNIT 7 FUNCTIONS ANSWERS FOR EXERCISES
MATH GRADE 8 UNIT 7 FUNCTIONS FOR EXERCISES LESSON 2: WHAT A GRAPH CAN TELL YOU 1. A Increasing and nonlinear 2. D 4 to 3. a. x (input) 4 3 2 1 1 2 3 4 (output) 1 4 1 3 1 2 1 Not defined 1 1 2 1 3 1 4
More informationSystems of Linear Equations
Sstems of Linear Equations Monetar Sstems Overload Lesson 31 Learning Targets: Use graphing, substitution, and elimination to solve sstems of linear equations in two variables. Formulate sstems of linear
More informationCHAPTER 6: LINEAR SYSTEMS AND THEIR GRAPHS
Name: Date: Period: CHAPTER : LINEAR SYSTEMS AND THEIR GRAPHS Notes #: Section.: Solving Linear Sstems b Substitution The solution to a sstem of equations represents the where the. It would be great if
More informationLinear Relations and Functions
Linear Relations and Functions Why? You analyzed relations and functions. (Lesson 21) Now Identify linear relations and functions. Write linear equations in standard form. New Vocabulary linear relations
More information5.2 Start Thinking Sample answer: x the cost of an incandescent light bulb, y the cost of a CFL, 30x 2 3 3, t 25; t 6F
5.1 Cumulative Review Warm Up. y 5 5 8 1. y 1. y 1 4 8 4. y 5 4 5 5. y 5 4 6. y 5 7. y 1 8 8. y 7 5.1 Practice A 4 5 1. yes. no., 0 4., 4 5., 6 6., 5 7. 8, 8. 0.67,.5 9. 16 bracelets, 1 necklaces 10. y
More informationAlgebra I. Administered May 2013 RELEASED
STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited
More informationChapter Fair Game Review Find the missing value in the table. Big Ideas Math Blue 119
Name Date Chapter 6 Fair Game Review Find the missing value in the table... 5 7 5 9 7 6 8.. 6 9 6 8 8 9 8 8 5. 6..5 9.5 5.5 6 5.8 5.8.8.6. Copright Big Ideas Learning, LLC Big Ideas Math Blue 9 Name Date
More informationMaintaining Mathematical Proficiency
Name Date Chapter 5 Maintaining Mathematical Proficienc Graph the equation. 1. + =. = 3 3. 5 + = 10. 3 = 5. 3 = 6. 3 + = 1 Solve the inequalit. Graph the solution. 7. a 3 > 8. c 9. d 5 < 3 10. 8 3r 5 r
More informationFair Game Review. Chapter 9. Find the square root(s) ± Find the side length of the square. 7. Simplify Simplify 63.
Name Date Chapter 9 Find the square root(s). Fair Game Review... 9. ±. Find the side length of the square.. s. s s Area = 9 ft s Area = 0. m 7. Simplif 0. 8. Simplif. 9. Simplif 08. 0. Simplif 88. Copright
More informationAlgebra I. Administered May 2014 RELEASED
STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited
More informationName: Class: Date: Unit 1. Thinking with Mathematical Models Investigation 2: Linear Models & Equations. Practice Problems
Unit 1 Thinking with Mathematical Models Investigation 2: Linear Models & Equations Practice Problems Directions: Please complete the necessary problems to earn a maximum of 7 points according to the chart
More informationName Date PD. Systems of Equations and Inequalities
Name Date PD Sstems of Equations and Inequalities Sstems of Equations Vocabular: A sstem of linear equations is A solution of a sstem of linear equations is Points of Intersection (POI) are the same thing
More informationA calculator may be used on the exam.
The Algebra Semester A eamination will have the following tpes of questions: Selected Response Student Produced Response (Gridin) Brief Constructed Response (BCR) Etended Constructed Response (ECR) Short
More informationLecture Guide. Math 42  Elementary Algebra. Stephen Toner. Introductory Algebra, 3rd edition. Miller, O'Neill, Hyde. Victor Valley College
Lecture Guide Math 42  Elementar Algebra to accompan Introductor Algebra, 3rd edition Miller, O'Neill, Hde Prepared b Stephen Toner Victor Valle College Accompaning videos can be found at www.mathvideos.net.
More informationTOPIC 1 Domain and Range
TOPIC 1 Domain and Range NEED HELP? Tr this... Determine the Domain and Range for each of the following: 1. {(3, 4), (5, 2), (7, 6), (6, 5), (8, 6)} 2. 3. 4. The DeWind famil lives in a rectangular
More information8th Grade PreAlgebra
8th Grade PreAlgebra Multiple Choice Identif the choice that best completes the statement or answers the question.. Kell is learning about rational and irrational numbers. What conclusion can she draw
More informationCHAPTER 6: LINEAR SYSTEMS AND THEIR GRAPHS
Name: Date: Period: CHAPTER : LINEAR SYSTEMS AND THEIR GRAPHS Notes #: Section.: Solving Linear Sstems b Substitution The solution to a sstem of equations represents the where the. It would be great if
More informationLESSON #12  FORMS OF A LINE COMMON CORE ALGEBRA II
LESSON #  FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS
More information3.2 Understanding Relations and FunctionsNOTES
Name Class Date. Understanding Relations and FunctionsNOTES Essential Question: How do ou represent relations and functions? Eplore A1.1.A decide whether relations represented verball, tabularl, graphicall,
More information1.1. Use a Problem Solving Plan. Read a problem and make a plan. Goal p Use a problem solving plan to solve problems. VOCABULARY. Formula.
. Georgia Performance Standard(s) MMPd, MMPa Your Notes Use a Problem Solving Plan Goal p Use a problem solving plan to solve problems. VOCABULARY Formula A PROBLEM SOLVING PLAN Step Read the problem carefull.
More informationAlgebra I Notes Direct Variation Unit 04e
OBJECTIVES: F.IF.B.4 Interpret functions that arise in applications in terms of the contet. For a function that models a relationship between two quantities, interpret ke features of graphs and tables
More information1. The area of the surface of the Atlantic Ocean is approximately 31,830,000 square miles. How is this area written in scientific notation?
1. The area of the surface of the tlantic Ocean is approximately 31,830,000 square miles. How is this area written in scientific notation? 3.183 x 10 4 B 3.183 x 10 5 C 3.183 x 10 6 D 3.183 x 10 7 2. In
More informationChapter 7 Linear Equations and Graphs 7.1 SlopeIntercept Form 1. a) m = 1, yintercept: 2
Chapter 7 Linear Equations and Graphs 7.1 SlopeIntercept Form 1. a) m, intercept: b) m =, intercept: c) m, intercept: d) m =.7, intercept:.. a) + = 7 = + 7 m = 1, intercept: 7 b) + + = + 1 m =, intercept:
More informationAnswers. Chapter Warm Up. Sample answer: The graph of h is a translation. 3 units right of the parent linear function.
Chapter. Start Thinking As the string V gets wider, the points on the string move closer to the ais. This activit mimics a vertical shrink of a parabola... Warm Up.. Sample answer: The graph of f is a
More informationFair Game Review. Chapter 5. Input, x Output, y. 1. Input, x Output, y. Describe the pattern of inputs x and outputs y.
Name Date Chapter Fair Game Review Describe the pattern of inputs and outputs.. Input, utput,. 8 Input, utput,. Input, 9. utput, 8 Input, utput, 9. The table shows the number of customers in hours. Describe
More informationMt. Douglas Secondary
Foundations of Math 11 Section.1 Review: Graphing a Linear Equation 57.1 Review: Graphing a Linear Equation A linear equation means the equation of a straight line, and can be written in one of two forms.
More informationLinear Functions. Essential Question How can you determine whether a function is linear or nonlinear?
. Linear Functions Essential Question How can ou determine whether a function is linear or nonlinear? Finding Patterns for Similar Figures Work with a partner. Cop and complete each table for the sequence
More informationChapter 5: Systems of Equations
Chapter : Sstems of Equations Section.: Sstems in Two Variables... 0 Section. Eercises... 9 Section.: Sstems in Three Variables... Section. Eercises... Section.: Linear Inequalities... Section.: Eercises.
More informationChapter 3. 2, which matches a typical. WorkedOut Solutions. Chapter 3 Maintaining Mathematical Proficiency (p.101)
Chapter Chapter Maintaining Mathematical Proficienc (p.). C A B E F D. This point is in Quadrant I.. This point is in Quadrant II.. This point is on the positive ais.. This point is in Quadrant III. 5.
More informationChapter 4 ( 2, 2 ). Chapter 4 Opener. Section 4.1. Big Ideas Math Blue WorkedOut Solutions. Try It Yourself (p. 141) = = = = 15. The solution checks.
Chapter Chapter Opener Tr It Yourself (p. ). ab = ( ) = ( ) = = = =. a b = ( ). a b = = = = + = + = + 9 =, or. a ( b a ). Point Q is on the ais, units up from the origin. So, the coordinate is, and the
More informationCHAPTER 3 Graphs and Functions
CHAPTER Graphs and Functions Section. The Rectangular Coordinate Sstem............ Section. Graphs of Equations..................... 7 Section. Slope and Graphs of Linear Equations........... 7 Section.
More information31. Solving Systems Using Tables and Graphs. Concept Summary. Graphical Solutions of Linear Systems VOCABULARY TEKS FOCUS ESSENTIAL UNDERSTANDING
3 Solving Sstems Using Tables and Graphs TEKS FOCUS VOCABULARY Foundational to TEKS (3)(A) Formulate sstems of equations, including sstems consisting of three linear equations in three variables and sstems
More informationCan a system of linear equations have no solution? Can a system of linear equations have many solutions?
5. Solving Special Sstems of Linear Equations Can a sstem of linear equations have no solution? Can a sstem of linear equations have man solutions? ACTIVITY: Writing a Sstem of Linear Equations Work with
More informationCHAPTER FIVE. g(t) = t, h(n) = n, v(z) = z, w(c) = c, u(k) = ( 0.003)k,
CHAPTER FIVE 5.1 SOLUTIONS 121 Solutions for Section 5.1 EXERCISES 1. Since the distance is decreasing, the rate of change is negative. The initial value of D is 1000 and it decreases by 50 each day, so
More informationACTIVITY: Using a Table to Plot Points
.5 Graphing Linear Equations in Standard Form equation a + b = c? How can ou describe the graph of the ACTIVITY: Using a Table to Plot Points Work with a partner. You sold a total of $6 worth of tickets
More information6. 4 : 5 is in simplest form because 4 and 5 have no. common factors. 4 : : 5 3. and 7 : : 14 2
9. Let the number of balloons be. Total cost of balloons: $(.0) Cost of banner: $ Total ependiture of committee: $(.0 ) The most the committee can spend is $:.0.0.0 90.0.0 90.0.7 The can bu at most balloons.
More informationDiscrete and Continuous Domains
. Discrete and Continuous Domains How can ou decide whether the domain of a function is discrete or continuous? EXAMPLE: Discrete and Continuous Domains In Activities and in Section., ou studied two reallife
More informationAnswers. Chapter Start Thinking Sample answer: yintercept: 8 5. x x
. ( 7, ) 9. (, 9 ) 0. (, 7). no solution. (, 7). no solution. no solution. ( 7, ). infinitel man solutions 7. (, 7 ). infinitel man solutions 9. (, 9) 70. 9a + a + 7. b b + 9 7. c + 90c + 7. 9d d + 7.
More informationChapter 1: Linear Equations and Functions
Chapter : Answers to Eercises Chapter : Linear Equations and Functions Eercise.. 7= 8+ 7+ 7 8 = 8+ + 7 8 = 9. + 8= 8( + ). + 8= 8+ 8 8 = 8 8 7 = 0 = 0 9 = = = () = 96 = 7. ( 7) = ( + ) 9.. = + + = + =
More informationChapter 4  Writing Linear Functions
Chapter 4  Writing Linear Functions Write an equation of the line with the given slope and yintercept. 1. slope: 3 yintercept: 6 a. y = 6x + 3 c. y = 6x 3 b. y = 3m + 6 d. y = 3x 6 2. D REF: Algebra
More information8.4. If we let x denote the number of gallons pumped, then the price y in dollars can $ $1.70 $ $1.70 $ $1.70 $ $1.
8.4 An Introduction to Functions: Linear Functions, Applications, and Models We often describe one quantit in terms of another; for eample, the growth of a plant is related to the amount of light it receives,
More informationFair Game Review. Chapter 8. Graph the linear equation. Big Ideas Math Algebra Record and Practice Journal
Name Date Chapter Graph the linear equation. Fair Game Review. =. = +. =. =. = +. = + Copright Big Ideas Learning, LLC Big Ideas Math Algebra Name Date Chapter Fair Game Review (continued) Evaluate the
More informationReteaching. Relating Graphs to Events
 Relating Graphs to Events The graph at the right shows the outside temperature during 6 hours of one da. You can see how the temperature changed throughout the da. The temperature rose 0 F from A.M.
More informationAlgebra 1 CP Semester Exam Review
Name: Hr: Algebra CP Semester Eam Review GET ORGANIZED. Successful studing begins with being organized. Bring this packet with ou to class ever da. DO NOT FALL BEHIND. Do the problems that are assigned
More informationUnit 3: Relations and Functions
Unit 3: Relations and Functions 51: Binar Relations Binar Relation:  a set ordered pairs (coordinates) that include two variables (elements). (, ) = horizontal = vertical Domain:  all the values (first
More informationSummary and Vocabulary
Chapter Chapter Summar and Vocabular Equations involving percents ma be written in the form p q = r, where p is the decimal form of the percent, q is the initial quantit, and r is the resulting quantit.
More information60 Minutes 60 Questions
MTHEMTI TET 60 Minutes 60 Questions DIRETIN: olve each problem, choose the correct answer, and then fill in the corresponding oval on our answer document. Do not linger over problems that take too much
More informationUnit 2: Linear Equations and Inequalities
Mr. Thurlwell's Assignment Sheet Algebra 1 Unit 2: Linear Equations and Inequalities Name: Assignment #1 (3.3) pg 177 422e Assignment #2 (4.3) pg 235 210e, 24,30,47,50 Assignment #3 (4.1) pg 219 214e,15,59
More informationPA CORE 8 UNIT 3  FUNCTIONS FLEX Workbook
PA CORE 8 UNIT  FUNCTIONS FLEX Workbook LESSON 9. INTRODUCTIONS TO FUNCTIONS 0. WORK WITH LINEAR FUNCTIONS. USE FUNCTIONS TO SOLVE PROBLEMS. USE GRAPHS TO DESCRIBE RELATIONSHIPS. COMPARE RELATIONSHIPS
More informationReteaching. Relating Graphs to Events
3 Relating Graphs to Events The graph at the right shows the outside temperature during 6 hours of one da. You can see how the temperature changed throughout the da. The temperature rose 0 F from A.M.
More informationSkills Practice. I. Identifying Independent and Dependent Quantities
Skills Practice I. Identifing Independent and Dependent Quantities A. Determine the independent and dependent quantities in each scenario. Be sure to include the appropriate units of measure for each quantit.
More informationLesson Remember. Finding Domain and Range from a Graph EXAMPLE. Key Vocabulary
0. Lesson Ke Vocabular function domain range function form Functions A function is a relationship that pairs each input with eactl one output. The domain is the set of all possible input values. The range
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 REVIEW: Linear Models and Tables Assessment 8 th Grade Math 1. Which equation describes the line through points A and B? (Hint: The ordered pairs make which equation true when you substitute the
More informationAssessment Readiness. 28 Unit 1 MIXED REVIEW. 1. Look at each number. Is the number between 2π and
MODULE 1 1. Look at each number. Is the number between π and 5? Select or for epressions A C. A. 6 _ 3 5π B. C. 3 5. Consider the number  11 15. A. The number is rational. True False B. The number can
More informationDMA 50 Worksheet #1 Introduction to Graphs: Analyzing, Interpreting, and Creating Graphs
DMA 0 Worksheet #1 Introduction to Graphs: Analzing, Interpreting, and Creating Graphs A graph will be given followed b a set of questions to answer. Show our work. The bar graph below shows the number
More informationMATH 125 MATH EXIT TEST (MET) SAMPLE (Version 4/18/08) The actual test will have 25 questions. that passes through the point (4, 2)
MATH MATH EXIT TEST (MET) SAMPLE (Version /8/08) The actual test will have questions. ) Find the slope of the line passing through the two points. (, ) and (, 6) A) 0 C)  D) ) Sketch the line with
More information( 7, 3) means x = 7 and y = 3. ( 7, 3) works in both equations so. Section 5 1: Solving a System of Linear Equations by Graphing
Section 5 : Solving a Sstem of Linear Equations b Graphing What is a sstem of Linear Equations? A sstem of linear equations is a list of two or more linear equations that each represents the graph of a
More informationFor use after the chapter Graphing Linear Equations and Functions 3 D. 7. 4y 2 3x 5 4; (0, 1) xintercept: 6 yintercept: 3.
Chapter Test A Write the coordinates of the point.. A. B. D. C. A. D C B.... Tell whether the ordered pair is a solution of the equation.. ; (, ) 7.. ; (, ). 7. ; (, ). Draw the line that has the given
More informationAlgebra I Released Test Booklet Spring 2004
Student Name Form 0 lgebra I Released Test ooklet Spring 00 Georgia epartment of Education Kath o, State Superintendent of Schools ll Rights Reserved. LGER I SETION I irections: Toda ou will be taking
More informationSystems of Linear Equations: Solving by Graphing
8.1 Sstems of Linear Equations: Solving b Graphing 8.1 OBJECTIVE 1. Find the solution(s) for a set of linear equations b graphing NOTE There is no other ordered pair that satisfies both equations. From
More informationMoving Straight Ahead Practice Answers
Copright Pearson Education, Inc., or its affiliates. All Rights Reserved. Investigation Additional Practice. a. Francine:. mph; Geraldo: mph; Jennifer: 7. mph; Divide the number of miles traveled in hours
More informationAlgebra 1 PAP Fall Exam Review
Name: Pd: 20162017 Algebra 1 PAP Fall Exam Review 1. A collection of nickels and quarters has a value of $7.30. The value of the quarters is $0.80 less than triple the value of the nickels. Which system
More informationA C E. Answers Investigation 2. Applications. Age (wk) Weight (oz) 1. a. Accept any line that approximates the data. Here is one possibility:
Answers Applications 1. a. Accept any line that approximates the data. Here is one possibility: 4. a. Lines will vary. Here is one possibility: b. y = 8.5x 2.5. Students might come up with a simpler model
More informationGraphing and Writing Linear Equations
Graphing and Writing Linear Equations. Graphing Linear Equations. Slope of a Line. Graphing Linear Equations in SlopeIntercept Form. Graphing Linear Equations in Standard Form. Writing Equations in SlopeIntercept
More informationName: Class: Date: ID: A. c. the quotient of z and 28 z divided by 28 b. z subtracted from 28 z less than 28
Name: Class: Date: ID: A Review for Final Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Give two ways to write the algebraic expression z 28 in words.
More informationIntermediate Algebra. Exam 1 Review (Chapters 1, 2, and 3)
Eam Review (Chapters,, and ) Intermediate Algebra Name. Epress the set in roster form. { N and 7}. Epress the set in set builder form. {, 0,,,, }. Epress in set builder notation each set of numbers that
More information