SlideShare a Scribd company logo
1 of 16
Download to read offline
Chapter 7.1 -7.5
Review

What I need to know to pass this
chapter test!
 What is a linear system?


 Two equations solved together – usually
  finding the solution of an ordered pair
  that satisfied both equations.
 What are the three ways to solve a linear
  system?

 1) Graphing the two equations
 2) Substitution (solving for x or y)
 3) Linear combination – add the two
  equations into one and solving
 Is (-2, 1) a solution for this linear
  system?


 6x – 3y = - 15
 2x + y = - 3
                         Yes – it is a
                         solution
 Is (3, -6) a solution for this linear
    system?


 x + 3y = 15
                          No – it is not a
 4x + y = 6              solution.
Graphing
x+y= -2
2x – 3y = - 9
Graphing
y = -x -2
y = 2/3 x + 3


(-3, 1)
Substitution

 Solve the linear system using
    substitution

 x + 2y = 4
 -x+y=-7


 Solution is (6, -1)
Applications

 You are painting white lines around the
  perimeter of a swimming pool. The
  perimeter is 400 feet and the length is 70
  feet more than the width.

 Let w = width and l = length, find the
  length and width of the pool.

 65 x 135 feet
Substitution

 Solve the linear system using
    substitution

 x + 6y = 15
 x = 2y


      Solution is (3 3/4, 1 7/8)
Linear Combinations

 Solve using linear combinations


 2x + y = 0
 5x – 4y = 26


 Solution is ( 2, - 4)
Linear Combinations

 Solve using linear combinations


 2 – 7x = 9y
 2y – 4x = 6


 Solution is ( -1, 1)
 Solve - choose your method


 1/3x + y = 2
 2x + 6y = 12


   infinitely many solutions
 Solve - choose your method


  2x – 3y = 1
 -2x + 3y = 1


   No solution
Applications

 You have 50 tickets to ride the Ferris
  Wheel and the roller coaster. If your ride
  12 times, using 3 tickets for each Ferris
  Wheel ride and 5 tickets for each roller
  coaster ride, how many times did you go
  on each ride?

 x + y = 12  3x + 5y = 50
 F. Wheel = 5 times, R. C. = 7 times
 Test is tomorrow

More Related Content

What's hot

Solving systems by substitution
Solving systems by substitutionSolving systems by substitution
Solving systems by substitutionjoannahstevens
 
Simultaneous equations
Simultaneous equationsSimultaneous equations
Simultaneous equationssuefee
 
3.2 Solving Linear Systems Algebraically
3.2 Solving Linear Systems Algebraically3.2 Solving Linear Systems Algebraically
3.2 Solving Linear Systems Algebraicallyhisema01
 
Linear equations in Two Variable
Linear equations in Two VariableLinear equations in Two Variable
Linear equations in Two VariableAbhinav Somani
 
Diploma_Semester-II_Advanced Mathematics_Complex number
Diploma_Semester-II_Advanced Mathematics_Complex numberDiploma_Semester-II_Advanced Mathematics_Complex number
Diploma_Semester-II_Advanced Mathematics_Complex numberRai University
 
Solving Systems of Linear Equation using Substitution method
Solving Systems of Linear Equation using Substitution methodSolving Systems of Linear Equation using Substitution method
Solving Systems of Linear Equation using Substitution methodRosyl Matin-ao
 
Asso5411
Asso5411Asso5411
Asso5411Maethus
 
Plane in 3 dimensional geometry
Plane in 3 dimensional geometryPlane in 3 dimensional geometry
Plane in 3 dimensional geometryAMINULISLAM439
 
6 2 Solving Systems with substitution
6 2 Solving Systems with substitution6 2 Solving Systems with substitution
6 2 Solving Systems with substitutionBitsy Griffin
 
Solving systems of equations by substitution
Solving systems of equations by substitutionSolving systems of equations by substitution
Solving systems of equations by substitutionEdrin Jay Morta
 
A1, 6 1, solving systems by graphing (blog 1)
A1, 6 1, solving systems by graphing (blog 1)A1, 6 1, solving systems by graphing (blog 1)
A1, 6 1, solving systems by graphing (blog 1)kstraka
 
8 - solving systems of linear equations by adding or subtracting
8  - solving systems of linear equations by adding or subtracting8  - solving systems of linear equations by adding or subtracting
8 - solving systems of linear equations by adding or subtractingAnthony_Maiorano
 
Maths ppt linear equations in two variables
Maths ppt   linear equations in two variablesMaths ppt   linear equations in two variables
Maths ppt linear equations in two variablesgobilladraksharani
 
Homogeneous Linear Differential Equations
 Homogeneous Linear Differential Equations Homogeneous Linear Differential Equations
Homogeneous Linear Differential EquationsAMINULISLAM439
 
Solving Systems by Graphing and Substitution
Solving Systems by Graphing and SubstitutionSolving Systems by Graphing and Substitution
Solving Systems by Graphing and Substitutionswartzje
 
Linear equations in two variables- By- Pragyan
Linear equations in two variables- By- PragyanLinear equations in two variables- By- Pragyan
Linear equations in two variables- By- PragyanPragyan Poudyal
 
Maths lesson1
Maths lesson1Maths lesson1
Maths lesson1deepap25
 

What's hot (19)

Solving systems by substitution
Solving systems by substitutionSolving systems by substitution
Solving systems by substitution
 
Simultaneous equations
Simultaneous equationsSimultaneous equations
Simultaneous equations
 
3.2 Solving Linear Systems Algebraically
3.2 Solving Linear Systems Algebraically3.2 Solving Linear Systems Algebraically
3.2 Solving Linear Systems Algebraically
 
Linear equations in Two Variable
Linear equations in Two VariableLinear equations in Two Variable
Linear equations in Two Variable
 
Diploma_Semester-II_Advanced Mathematics_Complex number
Diploma_Semester-II_Advanced Mathematics_Complex numberDiploma_Semester-II_Advanced Mathematics_Complex number
Diploma_Semester-II_Advanced Mathematics_Complex number
 
Solving Systems of Linear Equation using Substitution method
Solving Systems of Linear Equation using Substitution methodSolving Systems of Linear Equation using Substitution method
Solving Systems of Linear Equation using Substitution method
 
6.1 presentation
6.1 presentation6.1 presentation
6.1 presentation
 
Asso5411
Asso5411Asso5411
Asso5411
 
Plane in 3 dimensional geometry
Plane in 3 dimensional geometryPlane in 3 dimensional geometry
Plane in 3 dimensional geometry
 
6 2 Solving Systems with substitution
6 2 Solving Systems with substitution6 2 Solving Systems with substitution
6 2 Solving Systems with substitution
 
Linear equations in Two variables
Linear equations in Two variablesLinear equations in Two variables
Linear equations in Two variables
 
Solving systems of equations by substitution
Solving systems of equations by substitutionSolving systems of equations by substitution
Solving systems of equations by substitution
 
A1, 6 1, solving systems by graphing (blog 1)
A1, 6 1, solving systems by graphing (blog 1)A1, 6 1, solving systems by graphing (blog 1)
A1, 6 1, solving systems by graphing (blog 1)
 
8 - solving systems of linear equations by adding or subtracting
8  - solving systems of linear equations by adding or subtracting8  - solving systems of linear equations by adding or subtracting
8 - solving systems of linear equations by adding or subtracting
 
Maths ppt linear equations in two variables
Maths ppt   linear equations in two variablesMaths ppt   linear equations in two variables
Maths ppt linear equations in two variables
 
Homogeneous Linear Differential Equations
 Homogeneous Linear Differential Equations Homogeneous Linear Differential Equations
Homogeneous Linear Differential Equations
 
Solving Systems by Graphing and Substitution
Solving Systems by Graphing and SubstitutionSolving Systems by Graphing and Substitution
Solving Systems by Graphing and Substitution
 
Linear equations in two variables- By- Pragyan
Linear equations in two variables- By- PragyanLinear equations in two variables- By- Pragyan
Linear equations in two variables- By- Pragyan
 
Maths lesson1
Maths lesson1Maths lesson1
Maths lesson1
 

Viewers also liked

Scientific notation pbit 1
Scientific notation pbit   1Scientific notation pbit   1
Scientific notation pbit 1bweldon
 
Additive inverse zero pairs absolute value
Additive inverse zero pairs absolute valueAdditive inverse zero pairs absolute value
Additive inverse zero pairs absolute valuebweldon
 
1.1 1.2 quiz
1.1 1.2 quiz1.1 1.2 quiz
1.1 1.2 quizbweldon
 
Subtracting integer review web
Subtracting integer review   webSubtracting integer review   web
Subtracting integer review webbweldon
 
5.1 updated
5.1 updated5.1 updated
5.1 updatedbweldon
 
4.5 graph using slope int form - day 1
4.5 graph using slope int form - day 14.5 graph using slope int form - day 1
4.5 graph using slope int form - day 1bweldon
 
Osservatorio Multicanalità Cristina Papini Nielsen
Osservatorio Multicanalità Cristina Papini NielsenOsservatorio Multicanalità Cristina Papini Nielsen
Osservatorio Multicanalità Cristina Papini NielsenElena Guzzella
 
2.3 subtraction integers ws day 1
2.3 subtraction integers   ws day 12.3 subtraction integers   ws day 1
2.3 subtraction integers ws day 1bweldon
 
Sec. 8.3 proportions
Sec. 8.3 proportionsSec. 8.3 proportions
Sec. 8.3 proportionsbweldon
 
Section 4.4
Section 4.4Section 4.4
Section 4.4bweldon
 
1.2 order of operations part 1
1.2 order of operations part 11.2 order of operations part 1
1.2 order of operations part 1bweldon
 
4.1 prime factorization
4.1 prime factorization4.1 prime factorization
4.1 prime factorizationbweldon
 
2.2 add integers ws day 2
2.2 add integers   ws day 22.2 add integers   ws day 2
2.2 add integers ws day 2bweldon
 
2.4 multiplication of real numbers 1
2.4 multiplication of real numbers 12.4 multiplication of real numbers 1
2.4 multiplication of real numbers 1bweldon
 
8.3 quadrilaterals
8.3   quadrilaterals8.3   quadrilaterals
8.3 quadrilateralsbweldon
 
Equations review
Equations reviewEquations review
Equations reviewbweldon
 
Bivariate data football review
Bivariate data football reviewBivariate data football review
Bivariate data football reviewbweldon
 
3.1 solve one step equations - day 2
3.1 solve one step equations - day 23.1 solve one step equations - day 2
3.1 solve one step equations - day 2bweldon
 
Integer assessment corrections
Integer assessment correctionsInteger assessment corrections
Integer assessment correctionsbweldon
 
1.6 functions as rules and tables
1.6 functions as rules and tables1.6 functions as rules and tables
1.6 functions as rules and tablesbweldon
 

Viewers also liked (20)

Scientific notation pbit 1
Scientific notation pbit   1Scientific notation pbit   1
Scientific notation pbit 1
 
Additive inverse zero pairs absolute value
Additive inverse zero pairs absolute valueAdditive inverse zero pairs absolute value
Additive inverse zero pairs absolute value
 
1.1 1.2 quiz
1.1 1.2 quiz1.1 1.2 quiz
1.1 1.2 quiz
 
Subtracting integer review web
Subtracting integer review   webSubtracting integer review   web
Subtracting integer review web
 
5.1 updated
5.1 updated5.1 updated
5.1 updated
 
4.5 graph using slope int form - day 1
4.5 graph using slope int form - day 14.5 graph using slope int form - day 1
4.5 graph using slope int form - day 1
 
Osservatorio Multicanalità Cristina Papini Nielsen
Osservatorio Multicanalità Cristina Papini NielsenOsservatorio Multicanalità Cristina Papini Nielsen
Osservatorio Multicanalità Cristina Papini Nielsen
 
2.3 subtraction integers ws day 1
2.3 subtraction integers   ws day 12.3 subtraction integers   ws day 1
2.3 subtraction integers ws day 1
 
Sec. 8.3 proportions
Sec. 8.3 proportionsSec. 8.3 proportions
Sec. 8.3 proportions
 
Section 4.4
Section 4.4Section 4.4
Section 4.4
 
1.2 order of operations part 1
1.2 order of operations part 11.2 order of operations part 1
1.2 order of operations part 1
 
4.1 prime factorization
4.1 prime factorization4.1 prime factorization
4.1 prime factorization
 
2.2 add integers ws day 2
2.2 add integers   ws day 22.2 add integers   ws day 2
2.2 add integers ws day 2
 
2.4 multiplication of real numbers 1
2.4 multiplication of real numbers 12.4 multiplication of real numbers 1
2.4 multiplication of real numbers 1
 
8.3 quadrilaterals
8.3   quadrilaterals8.3   quadrilaterals
8.3 quadrilaterals
 
Equations review
Equations reviewEquations review
Equations review
 
Bivariate data football review
Bivariate data football reviewBivariate data football review
Bivariate data football review
 
3.1 solve one step equations - day 2
3.1 solve one step equations - day 23.1 solve one step equations - day 2
3.1 solve one step equations - day 2
 
Integer assessment corrections
Integer assessment correctionsInteger assessment corrections
Integer assessment corrections
 
1.6 functions as rules and tables
1.6 functions as rules and tables1.6 functions as rules and tables
1.6 functions as rules and tables
 

Similar to Review of 7 1 to 7-5

(8) Lesson 3.7
(8) Lesson 3.7(8) Lesson 3.7
(8) Lesson 3.7wzuri
 
Solving systems of Linear Equations
Solving systems of Linear EquationsSolving systems of Linear Equations
Solving systems of Linear Equationsswartzje
 
linear equation system with 2 and 3 variables
linear equation system with 2 and 3 variableslinear equation system with 2 and 3 variables
linear equation system with 2 and 3 variablesWanda Sari
 
Mathematics 8 Systems of Linear Inequalities
Mathematics 8 Systems of Linear InequalitiesMathematics 8 Systems of Linear Inequalities
Mathematics 8 Systems of Linear InequalitiesJuan Miguel Palero
 
Linear Algebra - systems of equations (week 1).ppt
Linear Algebra - systems of equations (week 1).pptLinear Algebra - systems of equations (week 1).ppt
Linear Algebra - systems of equations (week 1).pptAraMaeMina
 
systems of equations.ppt
systems of equations.pptsystems of equations.ppt
systems of equations.pptreboy_arroyo
 
MATHS - Linear equation in two variable (Class - X) Maharashtra Board
MATHS - Linear equation in two variable (Class - X) Maharashtra BoardMATHS - Linear equation in two variable (Class - X) Maharashtra Board
MATHS - Linear equation in two variable (Class - X) Maharashtra BoardPooja M
 
Intro to systems_of_linear_equations
Intro to systems_of_linear_equationsIntro to systems_of_linear_equations
Intro to systems_of_linear_equationskelpernell
 
Linear equations
Linear equationsLinear equations
Linear equationsNisarg Amin
 
Systems of Linear Equations
Systems of Linear EquationsSystems of Linear Equations
Systems of Linear Equationsalrosiemae
 
7.5 notes[1]
7.5 notes[1]7.5 notes[1]
7.5 notes[1]nglaze10
 
February 18, 2015
February 18, 2015February 18, 2015
February 18, 2015khyps13
 
January 29, 2014
January 29, 2014January 29, 2014
January 29, 2014khyps13
 
M1 L5 Remediation Notes
M1 L5 Remediation NotesM1 L5 Remediation Notes
M1 L5 Remediation Notestoni dimella
 
Solve systemsbygraphing
Solve systemsbygraphingSolve systemsbygraphing
Solve systemsbygraphingtcc1178
 
Systems of linear equations
Systems of linear equationsSystems of linear equations
Systems of linear equationsgandhinagar
 

Similar to Review of 7 1 to 7-5 (20)

(8) Lesson 3.7
(8) Lesson 3.7(8) Lesson 3.7
(8) Lesson 3.7
 
Solving systems of Linear Equations
Solving systems of Linear EquationsSolving systems of Linear Equations
Solving systems of Linear Equations
 
linear equation system with 2 and 3 variables
linear equation system with 2 and 3 variableslinear equation system with 2 and 3 variables
linear equation system with 2 and 3 variables
 
Mathematics 8 Systems of Linear Inequalities
Mathematics 8 Systems of Linear InequalitiesMathematics 8 Systems of Linear Inequalities
Mathematics 8 Systems of Linear Inequalities
 
Linear Algebra - systems of equations (week 1).ppt
Linear Algebra - systems of equations (week 1).pptLinear Algebra - systems of equations (week 1).ppt
Linear Algebra - systems of equations (week 1).ppt
 
systems of equations.ppt
systems of equations.pptsystems of equations.ppt
systems of equations.ppt
 
systems of equations.ppt
systems of equations.pptsystems of equations.ppt
systems of equations.ppt
 
MATHS - Linear equation in two variable (Class - X) Maharashtra Board
MATHS - Linear equation in two variable (Class - X) Maharashtra BoardMATHS - Linear equation in two variable (Class - X) Maharashtra Board
MATHS - Linear equation in two variable (Class - X) Maharashtra Board
 
Systems of equations and matricies
Systems of equations and matriciesSystems of equations and matricies
Systems of equations and matricies
 
Test of consistency
Test of consistencyTest of consistency
Test of consistency
 
Intro to systems_of_linear_equations
Intro to systems_of_linear_equationsIntro to systems_of_linear_equations
Intro to systems_of_linear_equations
 
Linear equations
Linear equationsLinear equations
Linear equations
 
Linear Equations
Linear Equations Linear Equations
Linear Equations
 
Systems of Linear Equations
Systems of Linear EquationsSystems of Linear Equations
Systems of Linear Equations
 
7.5 notes[1]
7.5 notes[1]7.5 notes[1]
7.5 notes[1]
 
February 18, 2015
February 18, 2015February 18, 2015
February 18, 2015
 
January 29, 2014
January 29, 2014January 29, 2014
January 29, 2014
 
M1 L5 Remediation Notes
M1 L5 Remediation NotesM1 L5 Remediation Notes
M1 L5 Remediation Notes
 
Solve systemsbygraphing
Solve systemsbygraphingSolve systemsbygraphing
Solve systemsbygraphing
 
Systems of linear equations
Systems of linear equationsSystems of linear equations
Systems of linear equations
 

More from bweldon

What shape is your name
What shape is your nameWhat shape is your name
What shape is your namebweldon
 
FM HS Girls Summer Schedule
FM HS Girls Summer ScheduleFM HS Girls Summer Schedule
FM HS Girls Summer Schedulebweldon
 
FM Girls BBall Summer Schedule
FM Girls BBall Summer ScheduleFM Girls BBall Summer Schedule
FM Girls BBall Summer Schedulebweldon
 
FM Girls BBall Summer Schedule - June
FM Girls BBall Summer Schedule - JuneFM Girls BBall Summer Schedule - June
FM Girls BBall Summer Schedule - Junebweldon
 
FM Youth Girls Basketball - Summer 2017
FM Youth Girls Basketball - Summer 2017FM Youth Girls Basketball - Summer 2017
FM Youth Girls Basketball - Summer 2017bweldon
 
June BBall Schedule
June BBall ScheduleJune BBall Schedule
June BBall Schedulebweldon
 
Central shooting academy flyer
Central shooting academy flyerCentral shooting academy flyer
Central shooting academy flyerbweldon
 
4r statistics and probability relearning
4r  statistics and probability relearning4r  statistics and probability relearning
4r statistics and probability relearningbweldon
 
5r linear systems relearning
5r   linear systems relearning5r   linear systems relearning
5r linear systems relearningbweldon
 
3r linear equations relearning
3r  linear equations relearning3r  linear equations relearning
3r linear equations relearningbweldon
 
Linear equations review
Linear equations reviewLinear equations review
Linear equations reviewbweldon
 
Slope Stuff
Slope StuffSlope Stuff
Slope Stuffbweldon
 
The role of your coaches
The role of your coachesThe role of your coaches
The role of your coachesbweldon
 
Player's Role
Player's RolePlayer's Role
Player's Rolebweldon
 
November 2016 BBall Calendar
November 2016 BBall CalendarNovember 2016 BBall Calendar
November 2016 BBall Calendarbweldon
 
Functions Study Guided
Functions Study GuidedFunctions Study Guided
Functions Study Guidedbweldon
 
Functions fill in the blank passage
Functions fill in the blank passageFunctions fill in the blank passage
Functions fill in the blank passagebweldon
 
Functions fill in the blank passage
Functions fill in the blank passageFunctions fill in the blank passage
Functions fill in the blank passagebweldon
 
Linear functions station 3
Linear functions station 3Linear functions station 3
Linear functions station 3bweldon
 

More from bweldon (20)

What shape is your name
What shape is your nameWhat shape is your name
What shape is your name
 
FM HS Girls Summer Schedule
FM HS Girls Summer ScheduleFM HS Girls Summer Schedule
FM HS Girls Summer Schedule
 
FM Girls BBall Summer Schedule
FM Girls BBall Summer ScheduleFM Girls BBall Summer Schedule
FM Girls BBall Summer Schedule
 
FM Girls BBall Summer Schedule - June
FM Girls BBall Summer Schedule - JuneFM Girls BBall Summer Schedule - June
FM Girls BBall Summer Schedule - June
 
FM Youth Girls Basketball - Summer 2017
FM Youth Girls Basketball - Summer 2017FM Youth Girls Basketball - Summer 2017
FM Youth Girls Basketball - Summer 2017
 
June BBall Schedule
June BBall ScheduleJune BBall Schedule
June BBall Schedule
 
Central shooting academy flyer
Central shooting academy flyerCentral shooting academy flyer
Central shooting academy flyer
 
4r statistics and probability relearning
4r  statistics and probability relearning4r  statistics and probability relearning
4r statistics and probability relearning
 
5r linear systems relearning
5r   linear systems relearning5r   linear systems relearning
5r linear systems relearning
 
3r linear equations relearning
3r  linear equations relearning3r  linear equations relearning
3r linear equations relearning
 
Linear equations review
Linear equations reviewLinear equations review
Linear equations review
 
Slope Stuff
Slope StuffSlope Stuff
Slope Stuff
 
The role of your coaches
The role of your coachesThe role of your coaches
The role of your coaches
 
Player's Role
Player's RolePlayer's Role
Player's Role
 
Culture
CultureCulture
Culture
 
November 2016 BBall Calendar
November 2016 BBall CalendarNovember 2016 BBall Calendar
November 2016 BBall Calendar
 
Functions Study Guided
Functions Study GuidedFunctions Study Guided
Functions Study Guided
 
Functions fill in the blank passage
Functions fill in the blank passageFunctions fill in the blank passage
Functions fill in the blank passage
 
Functions fill in the blank passage
Functions fill in the blank passageFunctions fill in the blank passage
Functions fill in the blank passage
 
Linear functions station 3
Linear functions station 3Linear functions station 3
Linear functions station 3
 

Recently uploaded

Introduction to Quantum Computing
Introduction to Quantum ComputingIntroduction to Quantum Computing
Introduction to Quantum ComputingGDSC PJATK
 
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdfIaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdfDaniel Santiago Silva Capera
 
Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?SANGHEE SHIN
 
Secure your environment with UiPath and CyberArk technologies - Session 1
Secure your environment with UiPath and CyberArk technologies - Session 1Secure your environment with UiPath and CyberArk technologies - Session 1
Secure your environment with UiPath and CyberArk technologies - Session 1DianaGray10
 
Things you didn't know you can use in your Salesforce
Things you didn't know you can use in your SalesforceThings you didn't know you can use in your Salesforce
Things you didn't know you can use in your SalesforceMartin Humpolec
 
Machine Learning Model Validation (Aijun Zhang 2024).pdf
Machine Learning Model Validation (Aijun Zhang 2024).pdfMachine Learning Model Validation (Aijun Zhang 2024).pdf
Machine Learning Model Validation (Aijun Zhang 2024).pdfAijun Zhang
 
COMPUTER 10: Lesson 7 - File Storage and Online Collaboration
COMPUTER 10: Lesson 7 - File Storage and Online CollaborationCOMPUTER 10: Lesson 7 - File Storage and Online Collaboration
COMPUTER 10: Lesson 7 - File Storage and Online Collaborationbruanjhuli
 
Linked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesLinked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesDavid Newbury
 
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataCloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataSafe Software
 
Babel Compiler - Transforming JavaScript for All Browsers.pptx
Babel Compiler - Transforming JavaScript for All Browsers.pptxBabel Compiler - Transforming JavaScript for All Browsers.pptx
Babel Compiler - Transforming JavaScript for All Browsers.pptxYounusS2
 
Crea il tuo assistente AI con lo Stregatto (open source python framework)
Crea il tuo assistente AI con lo Stregatto (open source python framework)Crea il tuo assistente AI con lo Stregatto (open source python framework)
Crea il tuo assistente AI con lo Stregatto (open source python framework)Commit University
 
Cybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxCybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxGDSC PJATK
 
Salesforce Miami User Group Event - 1st Quarter 2024
Salesforce Miami User Group Event - 1st Quarter 2024Salesforce Miami User Group Event - 1st Quarter 2024
Salesforce Miami User Group Event - 1st Quarter 2024SkyPlanner
 
UiPath Community: AI for UiPath Automation Developers
UiPath Community: AI for UiPath Automation DevelopersUiPath Community: AI for UiPath Automation Developers
UiPath Community: AI for UiPath Automation DevelopersUiPathCommunity
 
KubeConEU24-Monitoring Kubernetes and Cloud Spend with OpenCost
KubeConEU24-Monitoring Kubernetes and Cloud Spend with OpenCostKubeConEU24-Monitoring Kubernetes and Cloud Spend with OpenCost
KubeConEU24-Monitoring Kubernetes and Cloud Spend with OpenCostMatt Ray
 
PicPay - GenAI Finance Assistant - ChatGPT for Customer Service
PicPay - GenAI Finance Assistant - ChatGPT for Customer ServicePicPay - GenAI Finance Assistant - ChatGPT for Customer Service
PicPay - GenAI Finance Assistant - ChatGPT for Customer ServiceRenan Moreira de Oliveira
 
UiPath Studio Web workshop series - Day 7
UiPath Studio Web workshop series - Day 7UiPath Studio Web workshop series - Day 7
UiPath Studio Web workshop series - Day 7DianaGray10
 
GenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncGenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncObject Automation
 
Empowering Africa's Next Generation: The AI Leadership Blueprint
Empowering Africa's Next Generation: The AI Leadership BlueprintEmpowering Africa's Next Generation: The AI Leadership Blueprint
Empowering Africa's Next Generation: The AI Leadership BlueprintMahmoud Rabie
 
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyesHow to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyesThousandEyes
 

Recently uploaded (20)

Introduction to Quantum Computing
Introduction to Quantum ComputingIntroduction to Quantum Computing
Introduction to Quantum Computing
 
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdfIaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
IaC & GitOps in a Nutshell - a FridayInANuthshell Episode.pdf
 
Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?
 
Secure your environment with UiPath and CyberArk technologies - Session 1
Secure your environment with UiPath and CyberArk technologies - Session 1Secure your environment with UiPath and CyberArk technologies - Session 1
Secure your environment with UiPath and CyberArk technologies - Session 1
 
Things you didn't know you can use in your Salesforce
Things you didn't know you can use in your SalesforceThings you didn't know you can use in your Salesforce
Things you didn't know you can use in your Salesforce
 
Machine Learning Model Validation (Aijun Zhang 2024).pdf
Machine Learning Model Validation (Aijun Zhang 2024).pdfMachine Learning Model Validation (Aijun Zhang 2024).pdf
Machine Learning Model Validation (Aijun Zhang 2024).pdf
 
COMPUTER 10: Lesson 7 - File Storage and Online Collaboration
COMPUTER 10: Lesson 7 - File Storage and Online CollaborationCOMPUTER 10: Lesson 7 - File Storage and Online Collaboration
COMPUTER 10: Lesson 7 - File Storage and Online Collaboration
 
Linked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesLinked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond Ontologies
 
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataCloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
 
Babel Compiler - Transforming JavaScript for All Browsers.pptx
Babel Compiler - Transforming JavaScript for All Browsers.pptxBabel Compiler - Transforming JavaScript for All Browsers.pptx
Babel Compiler - Transforming JavaScript for All Browsers.pptx
 
Crea il tuo assistente AI con lo Stregatto (open source python framework)
Crea il tuo assistente AI con lo Stregatto (open source python framework)Crea il tuo assistente AI con lo Stregatto (open source python framework)
Crea il tuo assistente AI con lo Stregatto (open source python framework)
 
Cybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxCybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptx
 
Salesforce Miami User Group Event - 1st Quarter 2024
Salesforce Miami User Group Event - 1st Quarter 2024Salesforce Miami User Group Event - 1st Quarter 2024
Salesforce Miami User Group Event - 1st Quarter 2024
 
UiPath Community: AI for UiPath Automation Developers
UiPath Community: AI for UiPath Automation DevelopersUiPath Community: AI for UiPath Automation Developers
UiPath Community: AI for UiPath Automation Developers
 
KubeConEU24-Monitoring Kubernetes and Cloud Spend with OpenCost
KubeConEU24-Monitoring Kubernetes and Cloud Spend with OpenCostKubeConEU24-Monitoring Kubernetes and Cloud Spend with OpenCost
KubeConEU24-Monitoring Kubernetes and Cloud Spend with OpenCost
 
PicPay - GenAI Finance Assistant - ChatGPT for Customer Service
PicPay - GenAI Finance Assistant - ChatGPT for Customer ServicePicPay - GenAI Finance Assistant - ChatGPT for Customer Service
PicPay - GenAI Finance Assistant - ChatGPT for Customer Service
 
UiPath Studio Web workshop series - Day 7
UiPath Studio Web workshop series - Day 7UiPath Studio Web workshop series - Day 7
UiPath Studio Web workshop series - Day 7
 
GenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncGenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation Inc
 
Empowering Africa's Next Generation: The AI Leadership Blueprint
Empowering Africa's Next Generation: The AI Leadership BlueprintEmpowering Africa's Next Generation: The AI Leadership Blueprint
Empowering Africa's Next Generation: The AI Leadership Blueprint
 
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyesHow to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
 

Review of 7 1 to 7-5

  • 1. Chapter 7.1 -7.5 Review What I need to know to pass this chapter test!
  • 2.  What is a linear system?  Two equations solved together – usually finding the solution of an ordered pair that satisfied both equations.
  • 3.  What are the three ways to solve a linear system?  1) Graphing the two equations  2) Substitution (solving for x or y)  3) Linear combination – add the two equations into one and solving
  • 4.  Is (-2, 1) a solution for this linear system?  6x – 3y = - 15  2x + y = - 3 Yes – it is a solution
  • 5.  Is (3, -6) a solution for this linear system?  x + 3y = 15 No – it is not a  4x + y = 6 solution.
  • 7. Graphing y = -x -2 y = 2/3 x + 3 (-3, 1)
  • 8. Substitution  Solve the linear system using substitution  x + 2y = 4  -x+y=-7  Solution is (6, -1)
  • 9. Applications  You are painting white lines around the perimeter of a swimming pool. The perimeter is 400 feet and the length is 70 feet more than the width.  Let w = width and l = length, find the length and width of the pool.  65 x 135 feet
  • 10. Substitution  Solve the linear system using substitution  x + 6y = 15  x = 2y  Solution is (3 3/4, 1 7/8)
  • 11. Linear Combinations  Solve using linear combinations  2x + y = 0  5x – 4y = 26  Solution is ( 2, - 4)
  • 12. Linear Combinations  Solve using linear combinations  2 – 7x = 9y  2y – 4x = 6  Solution is ( -1, 1)
  • 13.  Solve - choose your method  1/3x + y = 2  2x + 6y = 12  infinitely many solutions
  • 14.  Solve - choose your method  2x – 3y = 1  -2x + 3y = 1  No solution
  • 15. Applications  You have 50 tickets to ride the Ferris Wheel and the roller coaster. If your ride 12 times, using 3 tickets for each Ferris Wheel ride and 5 tickets for each roller coaster ride, how many times did you go on each ride?  x + y = 12 3x + 5y = 50  F. Wheel = 5 times, R. C. = 7 times
  • 16.  Test is tomorrow