What if both of the variables cancel out?
|
|
- Kathleen McBride
- 6 years ago
- Views:
Transcription
1 Name:. Solving Sstems of Equations Algebraicall Lesson Essential Question: How do ou solve a sstem of equations algebraicall? SUBSTITUTION ELIMINATION Definition- Definition- - = -6 + = - - = -6 + = - When a sstem of equations have one solution, the solution is written as an. What if both of the variables cancel out? * False statement indicates the lines are parallel so there is. * True statement indicates the lines coincide so there are. 1
2 How do ou solve a sstem of equations b using substitution? Eample 1: + = 4 = 1. Choose one equation and solve for or. Eample : + = 1 = Choose one equation and solve for or.. Substitute the epression from that equation in to the other equation.. Substitute the epression from that equation in to the other equation.. Solve for the variable.. Solve for the variable. 4. Substitute the value found in step () back into the equation solved in step one. 4. Substitute the value found in step () back into the equation solved in step one. 5. Test our solution (,) into one of the original equations. 5. Test our solution (,) into one of the original equations.
3 Eample : + = 5 = 4 1. Choose one equation and solve for or. Eample 4: + = = - 1. Choose one equation and solve for or.. Substitute the epression from that equation in to the other equation.. Substitute the epression from that equation in to the other equation.. Solve for the variable.. Solve for the variable. 4. Substitute the value found in step () back into the equation solved in step one. 4. Substitute the value found in step () back into the equation solved in step one. 5. Test our solution (,) into one of the original equations. 5. Test our solution (,) into one of the original equations.
4 4 Solve each sstem b substitution: d c d c
5 Elimination Steps: 1... Eamples: Solve the sstem of equation using elimination a. b. c. d. You Tr: Solve the sstem of equation using elimination a. b. c. d. 5
6 Elimination Practice (with multiplication) Steps: 1. Multipl each equation b a number that will cause one variable to cancel out. Add both equations to eliminate a variable and solve for one variable. Substitute the value from step into either equation to solve for the other variable 4. Write solution as an ordered pair m n 8 4m n
7 Name: Date: Period: 4 Step Method 1. Define Variables. Write the sstems of equations.. Solve showing all steps. 4. State our solution in sentence form. 1) You sell tickets for admissions to our school pla and collect a total of $104. Admission prices are $6 for adults and $4 for children. You sold 1 tickets. How man tickets and how man children tickets did ou sell? ) Your famil goes to a restaurant for dinner. There are 6 people in our famil. Some order the chicken dinner for $14.80 and some order steak for $17. If the total bill was $91, how man people order each tpe of dinner? ) You bought the meat for Saturda s cookout. A package of hot dogs cost $1.60 and a package of hamburger cost $5. You bought a total of 8 packages of meat and spent $. How man packages of hamburger meat did ou bu? 4) Case orders pizzas and orders of breadsticks for a total of $9.50. Rachel orders pizzas and orders of breadsticks for a total of $. How much does the pizza cost? 5) Rent A Car rents compact cars for a fied amount per da plus a fied amount for each mile driven. Benito rented a car for 6 das, drove it 550 miles and spent $7. Lisa rented the same car for das, drove it 50 miles, and spent $185. What are the charges per da and per mile for the compact car? 6) Beach Hotel in Cancun is offering two weekend specials. One includes a -night sta with meals and costs $195. The other includes a -night sta with 5 meals and costs $00. What is the cost of a single meal? 7
8 7) You and our friend go to a Meican restaurant. You order tacos and enchiladas. Your friend orders tacos and 1 enchilada. Your bill was $4.80. Your friend s bill was $4.00. What was the price of an enchilada? 8) For a communit bake sale, ou purchase 1 pounds of sugar and 15 pounds of flour. Your total cost was $9.0. The net da, ou purchased 4 pounds of sugar and 10 pounds of flour. Your total cost the second da was $4.60. Find the cost of a pound of sugar and a pound of flour. 9) A travel agenc offers different gatewas to New York. Plan A includes hotel accommodations for -nights and -pair of baseball tickets for $645. Plan B includes hotel accommodations for 5-nights and 4-pairs of baseball tickets for $115. How much does a one-night hotel cost and how much does a single pair of baseball tickets cost? 10) Tickets for the theater are $5 for the balcon and $10 for the orchestra. If 600 tickets were sold and the total came to $4750, how man tickets of each tpe were sold? 11) You bought 5 pairs of socks for $19. The wools socks that ou bought cost $5 per pair. The cotton socks ou bought cost $ per pair. How man of each tpe of sock did ou bu? 1) A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 1 gloves were sold for total revenue of $58. Right-handed gloves cost$48 and left-handed gloves costs $6. How man right-handed gloves were sold? 8
Solve 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. = 3-5 3 - = 0 (1, 5) 5. -3 + = 5 =-7 (, 7).
More informationAn assessment of these skills will occur the first week of school.
Fort Zumwalt West High School Pre-AP Algebra SUMMER REVIEW PACKET Name: * This packet is to be handed in to our Pre AP Algebra teacher on the first da of the school ear. *All work must be shown in the
More informationA.7A Mini-Assessment
LGER I (.) Linear Functions. The formulates equations and inequalities based on linear functions, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student
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 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 informationUnit 2 Solving Equations & Inequalities
Coordinate Algebra Unit Solving Equations & Inequalities Name: Date: Unit Review Solve each system of linear equations by the given method. 1. Solve by Substitution: 5y 9 x y. Solve by Substitution: 15y
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 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 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 informationChapter 6: Systems of Linear Equations and Inequalities
Lesson 6-1: Graphing Sstems of Equations Date: Eample 1: Use the graph to determine whether each sstem is consistent or inconsistent and if it is independent or dependent. a. = 1 and = + 1 b. = 1 and =
More informationc. Find the slope and y-intercept of the graph of the linear equation. Then sketch its graph.
Name Solve. End-of-Course. 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 informationFinal Exam Study Guide
Algebra 2 Alei - Desert Academy 2011-12 Name: Date: Block: Final Exam Study Guide 1. Which of the properties of real numbers is illustrated below? a + b = b + a 2. Convert 6 yards to inches. 3. How long
More informationPreAP Algebra 2 Unit 1 and Unit 2 Review Name A#
PreAP Algebra Unit and Unit Review Name A# Domain and Range:. The graph of the square root function f is shown below. - - - - - - - - - - Interval Notation Domain: Range: Inequalit Notation Domain: Range:.
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 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 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 informationSkills Practice Skills Practice for Lesson 5.1
Skills Practice Skills Practice for Lesson. Name Date Widgets, Dumbbells, and Dumpsters Multiple Representations of Linear Functions Vocabular Write the term that best completes each statement.. A(n) is
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 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 information7.1 Solving Linear Systems by Graphing
7.1 Solving Linear Sstems b Graphing Objectives: Learn how to solve a sstem of linear equations b graphing Learn how to model a real-life situation using a sstem of linear equations With an equation, an
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 informationUnit 12: Systems of Equations
Section 12.1: Systems of Linear Equations Section 12.2: The Substitution Method Section 12.3: The Addition (Elimination) Method Section 12.4: Applications KEY TERMS AND CONCEPTS Look for the following
More informationSemester 1 Final REVIEW
Algebra Name s dc0p[8\ MKkuvtXaI esmoifntrw\araef GLSLFCA.l F pa\lglb ArNiigphHtsT qrievsneprqvlevdn. Semester Final REVIEW Evaluate each using the values given. ) z + ; use = -, and z = - ) ( - z) ; use
More informationLinear and Nonlinear Systems of Equations. The Method of Substitution. Equation 1 Equation 2. Check (2, 1) in Equation 1 and Equation 2: 2x y 5?
3330_070.qd 96 /5/05 Chapter 7 7. 9:39 AM Page 96 Sstems of Equations and Inequalities Linear and Nonlinear Sstems of Equations What ou should learn Use the method of substitution to solve sstems of linear
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 informationAlgebra I. Slide 1 / 176 Slide 2 / 176. Slide 3 / 176. Slide 4 / 176. Slide 6 / 176. Slide 5 / 176. System of Linear Equations.
Slide 1 / 176 Slide 2 / 176 Algebra I Sstem of Linear Equations 21-11-2 www.njctl.org Slide 3 / 176 Slide 4 / 176 Table of Contents Solving Sstems b Graphing Solving Sstems b Substitution Solving Sstems
More informationUnit Test Linear equations and Inequalities
Unit Test Linear equations and Inequalities Name: Date: Directions: Select the best answer for the following questions. (2 points each) 7L 1. The steps for solving are: 1) Read the problem and label variables,
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 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 PD. Linear Functions
Name PD Linear Functions Finding the Slope of a Line The steepness of the line is the ratio of rise to run, or vertical change to horizontal change, for this step. We call this ratio the slope of the line.
More informationREVIEW PACKET FOR END OF COURSE EXAM
Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate
More informationFoundations of Math. Chapter 3 Packet. Table of Contents
Foundations of Math Chapter 3 Packet Name: Table of Contents Notes #43 Solving Systems by Graphing Pg. 1-4 Notes #44 Solving Systems by Substitution Pg. 5-6 Notes #45 Solving by Graphing & Substitution
More informationAlgebra Semester 1 Final Exam Review Name: Hour: Date:
Algebra Semester Final Exam Review Name: Hour: Date: CHAPTER Learning Target: I can appl the order of operations to evaluate expressions. Simplif the following expressions (combine like terms). x + x +
More informationc. x x < 60 d. x x =9. What are the first four terms of the sequence? a. 12, 21, 30, 39 b.
Algebra I Unit Reasoning with Linear Equations and Inequalities Post Test... A famil s cell phone plan costs $ per month for, minutes and cents per minute over the limit. This month, the famil paid $..
More informationTopic 1: Writing and Solving Equations and Inequalities
Topic 1: Writing and Solving Equations and Inequalities In #1 3, solve each equation. Use inverse operations. 1. 8 21 5 = 15 2. 3 10 = 2(4 5) 3. 2( + 2) = 2 + 1 4. The rectangle and square have equivalent
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 information4) Solve for this system using your graphing
Algebra Unit 5 HW Day 1 SOLVING GRAPHICALLY Graph the following systems: 1) x 2y 12 y 2x 6 2) y x 2 6x 2y 10 ) x y 9 4) Solve for this system using your graphing x calculator. [You will still need to put
More informationName Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Travels in Air. Distance (miles) Time (seconds)
Practice - Rate of Change and Slope Find the slope of each line.... O O O Find the slope of the line that passes through each pair of points.. (, ), (7, 5) 5. (8, ), (, ). (, 5), (, 7) 7. (-, 7), (, -)
More informationAlgebra 1, Semester 1, District Final REVIEW Solve the equation.
Algebra, Semester, District Final REVIEW 6-7 Solve the equation... - = 9. 8. The admission fee to an amusement park is $. It costs an additional d dollars to rent a locker to hold our belongings. The total
More informationMEP Pupil Text 16. The following statements illustrate the meaning of each of them.
MEP Pupil Tet Inequalities. Inequalities on a Number Line An inequalit involves one of the four smbols >,, < or. The following statements illustrate the meaning of each of them. > : is greater than. :
More informationLinear Systems. Name: Unit 4 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 4 Beaumont Middle School 8th Grade, 216-217 Introduction to Algebra Name: Linear Sstems I can graph using slope and -intercept in form. I can graph using and intercepts in form. I can write equations
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 informationSolving Systems of Linear Equations by Graphing. ESSENTIAL QUESTION How can you solve a system of equations by graphing? 8.9 Slope-intercept form
? LESSN. Solving Sstems of Linear Equations b Graphing ESSENTIAL QUESTIN How can ou solve a sstem of equations b graphing? Epressions, equations, and relationships.9 Identif and verif the values of and
More informationMA 15800, Summer 2016 Lesson 25 Notes Solving a System of Equations by substitution (or elimination) Matrices. 2 A System of Equations
MA 800, Summer 06 Lesson Notes Solving a Sstem of Equations b substitution (or elimination) Matrices Consider the graphs of the two equations below. A Sstem of Equations From our mathematics eperience,
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 informationYou solved systems of equations algebraically and represented data using matrices. (Lessons 0-5 and 0-6)
You solved systems of equations algebraically and represented data using matrices. (Lessons 0-5 and 0-6) Solve systems of linear equations using matrices and Gaussian elimination. Solve systems of linear
More information13.1 2X2 Systems of Equations
. X Sstems of Equations In this section we want to spend some time reviewing sstems of equations. Recall there are two basic techniques we use for solving a sstem of equations: Elimination and Substitution.
More informationSystems of Equations Unit Five ONE NONE INFINITE
Systems of Equations Unit Five ONE NONE INFINITE Standards: 8.EE.8 Analyze and solve pairs of simultaneous linear equations. a. Understand that solutions to a system of two linear equations in two variables
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 informationEssential Question How can you determine the number of solutions of a linear system?
.1 TEXAS ESSENTIAL KNOWLEDGE AND SKILLS A.3.A A.3.B Solving Linear Sstems Using Substitution Essential Question How can ou determine the number of solutions of a linear sstem? A linear sstem is consistent
More informationx. 4. 2x 10 4x. 10 x
CCGPS UNIT Semester 1 COORDINATE ALGEBRA Page 1 of Reasoning with Equations and Quantities Name: Date: Understand solving equations as a process of reasoning and eplain the reasoning MCC9-1.A.REI.1 Eplain
More informationSolving Systems of Equations 9 22k0g1s24 5KMuJt FaK kslokfftzw0a0r0eg OL9LzCc.5 4 lawlnl6 ZrRiDgahitqs3 drxewsfetruvbe1dm.v
Algebra Honors Name Solving Sstems of Equations 9 k0gs KMuJt FaK kslokfftzw0a0r0eg OL9LzCc. lawlnl6 ZrRiDgahitqs drxewsfetruvbedm.v Solve each sstem b graphing. Date Period ) = = 0 ) = + 0 = ) 6 = 6 =
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 informationReady To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions
Read To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions Find these vocabular words in Lesson 5-1 and the Multilingual Glossar. Vocabular quadratic function parabola verte
More informationLesson 12: Systems of Linear Equations
Our final lesson involves the study of systems of linear equations. In this lesson, we examine the relationship between two distinct linear equations. Specifically, we are looking for the point where the
More information5.1 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 informationGraph Quadratic Functions in Standard Form
TEKS 4. 2A.4.A, 2A.4.B, 2A.6.B, 2A.8.A Graph Quadratic Functions in Standard Form Before You graphed linear functions. Now You will graph quadratic functions. Wh? So ou can model sports revenue, as in
More informationTone-Up Tuesday #6 Systems of Linear Equations & Inequalities Due Date: 4/14/14 Problems per night: 3
Tone-Up Tuesday #6 Name: Systems of Linear Equations & Inequalities Due Date: 4/14/14 Problems per night: 3 Systems of Linear Equations A. Solving Systems of Linear Equations by Graphing Graph and check
More informationUnit 5 SIMULTANEOUS LINEAR EQUATIONS
MATH 8 Unit 5 SIMULTANEOUS LINEAR EQUATIONS By the end of this unit, students should be able to: 1. Solve simultaneous linear equations by graphing. 2. Understand what it means to solve a system of equations.
More informationWhat You ll Learn Identify direct variation. Use direct variation to solve problems.
AM_S_C_L_3.indd Page // 3: PM s-user /Volumes//GO/CORE_READING/TENNESSEE/ANCILLARY... Proportionalit and Linear Relationships Teach the Concept Lesson - Direct Variation Interactive Stud Guide See pages
More informationKeystone Exam Concept Review. Properties and Order of Operations. Linear Equations and Inequalities Solve the equations. 1)
Keystone Exam Concept Review Name: Properties and Order of Operations COMMUTATIVE Property of: Addition ASSOCIATIVE Property of: Addition ( ) ( ) IDENTITY Property of Addition ZERO PRODUCT PROPERTY Let
More informationSolving Linear Systems
1.4 Solving Linear Sstems Essential Question How can ou determine the number of solutions of a linear sstem? A linear sstem is consistent when it has at least one solution. A linear sstem is inconsistent
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 informationSolving Systems Using Tables and Graphs
3-1 Solving Sstems Using Tables and Graphs Vocabular Review 1. Cross out the equation that is NOT in slope-intercept form. 1 5 7 r 5 s a 5!3b 1 5 3 1 7 5 13 Vocabular Builder linear sstem (noun) LIN ee
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 informationAlgebra I Practice Exam
Algebra I This practice assessment represents selected TEKS student expectations for each reporting category. These questions do not represent all the student expectations eligible for assessment. Copyright
More informationMath 025 Review Exercises for the Final Exam
Math 05 Review Eercises for the Final Eam The following are review eercises for the Math 05 final eam. These eercises are provided for ou to practice or test ourself for readiness for the final eam. There
More informationNAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6).
Review #11 NAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6). 2. The graph of a line that contains the points (-3, 2) and
More informationAlgebra I STAAR Practice Test A
Algebra I STAAR Practice Test A 1 What is the value of if (, ) is a solution to the equation 3 1 5 1? A C B 3 D 5 5 A plumber charges $5 for a service call and $15 per hour for repairs. She uses the graph
More informationEssential Question How can you solve a system of linear equations? $15 per night. Cost, C (in dollars) $75 per Number of. Revenue, R (in dollars)
5.1 Solving Sstems of Linear Equations b Graphing Essential Question How can ou solve a sstem of linear equations? Writing a Sstem of Linear Equations Work with a partner. Your famil opens a bed-and-breakfast.
More informationModule 1-A Linear Inequalities. C. x > 3 D. x < 3 A. 4.4 B. 4.5 C. 4.6 D. 4.7
Name: Date: 1. The inequality 3x + 2 > x + 8 is equivalent to. x > 3 2. x > 3 2 C. x > 3 D. x < 3 2. The inequality 2x > x + 7 is equivalent to. x > 7. x < 7 C. x = 7 D. x > 7 3 3. Which number is not
More informationCONSUMER CHOICES Madison is thinking about leasing a car for. Example 1 Solve the system of equations by graphing.
2-1 BJECTIVES Solve sstems of equations graphicall. Solve sstems of equations algebraicall. Solving Sstems of Equations in Two Variables CNSUMER CHICES Madison is thinking about leasing a car for two ears.
More information1.3 Exercises. Vocabulary and Core Concept Check. Dynamic Solutions available at BigIdeasMath.com
1.3 Eercises Dnamic Solutions available at BigIdeasMath.com Vocabular and Core Concept Check 1. COMPLETE THE SENTENCE The linear equation = 1 + 3 is written in form.. VOCABULARY A line of best fit has
More information5.1 Understanding Linear Functions-NOTES
Name Class Date 5.1 Understanding Linear Functions-NOTES Essential Question: What is a linear function? A1.3.C graph linear functions on the coordinate plane... Also A1.2.A Eplore 1 Recognizing Linear
More information12-1. Example 1: Which relations below represent functions? State the domains and ranges. a) {(9,81), (4,16), (5,25), ( 2,4), ( 6,36)} Function?
MA 000, Lessons a and b Introduction to Functions Algebra: Sections 3.5 and 7.4 Calculus: Sections 1. and.1 Definition: A relation is any set of ordered pairs. The set of first components in the ordered
More informationREVIEW Algebra 1 Fall Final
1. (A.5A) Solve: 4(x 8) = 4x (7x 3) A. x = 29/7 B. x = 5 C. x = no solution D. x = 5 Use the graph below to answer questions #2-3 6. (A.2E) Write the equation of a line passing through ( 5, 7)that is parallel
More informationName Class Date. Additional Vocabulary Support. A consistent system that is dependent has infinitely many solutions. no solution is inconsistent.
- Additional Vocabular Support Solving Sstems b Graphing Complete the vocabular chart b filling in the missing information. Word or Word Phrase consistent Definition A sstem of equations that has at least
More informationUnit 26 Solving Inequalities Inequalities on a Number Line Solution of Linear Inequalities (Inequations)
UNIT Solving Inequalities: Student Tet Contents STRAND G: Algebra Unit Solving Inequalities Student Tet Contents Section. Inequalities on a Number Line. of Linear Inequalities (Inequations). Inequalities
More informationMATD 0370 ELEMENTARY ALGEBRA Review for Test 4
MATD 070 ELEMENTARY ALGEBRA Review for Test Test covers all cumulative material, including new sections 6. - 6., 6.6, 6.7, and 7. - 7.. Bring a non-graphing calculator and something to write with and erase
More informationMath 112 Spring 2018 Midterm 2 Review Problems Page 1
Math Spring 08 Midterm Review Problems Page Note: Certain eam questions have been more challenging for students. Questions marked (***) are similar to those challenging eam questions. Let f and g. (***)
More informationName Class Date. Solving Special Systems by Graphing. Does this linear system have a solution? Use the graph to explain.
Name Class Date 5 Solving Special Sstems Going Deeper Essential question: How do ou solve sstems with no or infinitel man solutions? 1 A-REI.3.6 EXAMPLE Solving Special Sstems b Graphing Use the graph
More informationChapter 1 Analytic Geometry
Chapter 1 Analytic Geometry 1. Find the coordinates of the midpoint of the line segment AB whose endpoints are A(5, 4) and B(-3, -4) 2. N (-2, 1) and D (8, 5) are the endpoints of the diameter of a circle.
More information11.1 Solving Linear Systems by Graphing
Name Class Date 11.1 Solving Linear Sstems b Graphing Essential Question: How can ou find the solution of a sstem of linear equations b graphing? Resource Locker Eplore Tpes of Sstems of Linear Equations
More information8 LESSON 8.1. Solving Systems of Linear Equations. Solving Systems of Linear Equations by Graphing. Solving Special Systems ESSENTIAL QUESTION
Solving Sstems of Linear Equations? MODULE 8 LESSON 8.1 ESSENTIAL QUESTION Solving Sstems of Linear Equations b Graphing How can ou use sstems of equations to solve real-world problems? LESSON 8. Solving
More informationALGEBRA 1 UNIT 3 WORKBOOK CHAPTER 6
ALGEBRA 1 UNIT 3 WORKBOOK CHAPTER 6 FALL 2014 0 1 Algebra 1 Section 6.1 Notes: Graphing Systems of Equations System of Equations: a set of two or more equations with the same variables, graphed in the
More informationName Class Date. 3. Write an equation for the following description: y is three times the value of x.
Name Class Date Practice 5-2 Linear Equations: y = mx 5-2 Linear Equations: y = mx 1. The variable y has a proportional relationship with x as suggested by the graph. Use the graph to write an equation
More informationEam Name algebra final eam review147 aam032020181t4highschool www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation.
More informationChapter 7: Systems of Linear Equations
Chapter 7: Systems of Linear Equations Section 7.1 Chapter 7: Systems of Linear Equations Section 7.1: Developing Systems of Linear Equations Terminology: System of Linear Equations: A grouping of two
More informationTAKS Mathematics. Test A GO ON. 1. Which of the following functions is not linear? A. f(x) 3x 4 B. f(x) 3 x 4 C. f(x) 3 4
TAKS Mathematics Test A. Which of the following functions is not linear? A. f() B. f() C. f() D. f(). Mia bought nuts and popcorn for a group of friends at the movie theater. A bag of nuts cost $. and
More information6th Grade. Translating to Equations. Slide 1 / 65 Slide 2 / 65. Slide 4 / 65. Slide 3 / 65. Slide 5 / 65. Slide 6 / 65
Slide 1 / 65 Slide 2 / 65 6th Grade Dependent & Independent Variables 15-11-25 www.njctl.org Slide 3 / 65 Slide 4 / 65 Table of Contents Translating to Equations Dependent and Independent Variables Equations
More informationName % Correct % MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1 Pre Test Unit Name % Correct % MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide if the given number is a solution to the given equation. 1)
More informationACCELERATED MATHEMATICS CHAPTER 4 PART II INEQUALITIES TOPICS COVERED:
ACCELERATED MATHEMATICS CHAPTER PART II INEQUALITIES TOPICS COVERED: Solving inequalities with adding and subtracting Solving inequalities with multiplying and dividing Solving two-step inequalities Solving
More informationALGEBRA 1. Unit 3 Chapter 6. This book belongs to: Teacher:
ALGEBRA 1 Teacher: Unit 3 Chapter 6 This book belongs to: UPDATED FALL 2016 1 2 Algebra 1 Section 6.1 Notes: Graphing Systems of Equations Day 1 Warm-Up 1. Graph y = 3x 1 on a coordinate plane. 2. Check
More informationBerkeley City College Precalculus - Math 1 - Chapter 11. Name
Berkele Cit College Precalculus - Math 1 - Chapter 11 Homework 7 Due: Sstems of Equations Name Verif that the values of the variables listed are solutions of the sstem of equations. 1) 3 + = -3 + 3 = 1)
More information2 Which graph shows the solution to the following
1 In order for Josh to graph the solution to the inequality 4x 2y > 6, which of the following steps does he need to use? Select all that apply. A. Shade above the line. B. Draw the line y = 2x 3 as a solid
More informationAlgebra 1 2nd Semester Exam Review 2015
Algebra 1 2nd Semester Exam Review 2015 1. Sketch the line given by. Label the x- and y-intercepts. 2. Find the slope of the line through the points (4, 7) and ( 6, 2). 3. Writing: Explain the difference
More informationSystems of Equations and Inequalities
9 Sstems of Equations and Inequalities Chapter OUtline Introduction Figure Enigma machines like this one, once owned b Italian dictator Benito Mussolini, were used b government and militar officials for
More informationPatterns & Graphs FPMath 70 Unit 3 Worksheet
1. The image below shows a pattern of sections from a fence made from boards. a. Sketch the net two sections of the fence: b. Complete the following chart: Fence # (variable) # of boards 1 4 2 7 3 4 5
More informationIdentify the domain and the range of the relation from the graph. 8)
INTERMEDIATE ALGEBRA REVIEW FOR TEST Use the given conditions to write an equation for the line. 1) a) Passing through (, -) and parallel to = - +. b) Passing through (, 7) and parallel to - 3 = 10 c)
More informationInstructor: KATHRYN SCHRADER Course: A Kathryn Elizabeth Schrader - Alg 1 Hon (2018 / DARNELL COOKMAN-INTEGRATED)
Student: Date: Instructor: KATHRYN SCHRADER Course: 3 3 - A - 37 - Kathrn Elizabeth Schrader - Alg Hon (28 / DARNELL COOKMAN-INTEGRATED) Assignment: Chapter Review. What are the variables of the graph
More information