SlideShare ist ein Scribd-Unternehmen logo
1 von 11
Solving Multi-Step Equations Section 3.2 P. 141
Today we will learn to solve linear equations using two or more transformations. Again – think about “undoing” what has been done to the variable – using inverse operations!
Learn to solve linear equations using two or more transformations Do these look familiar to you?
Learn to solve linear equations using two or more transformations Today our equations will look more like this: Why do you think these are called two-step equations?
Learn to solve linear equations using two or more transformations Let’s take a closer look at this equation. Focus on the variable and how the numbers are attached to the variable. Attached  by “what operations?” If I “UNDO” this equation using inverse operations, what should I undo first?  Why?
“Undo” Steps 1)  Simplify both sides( may include the distributive property,    combining like terms,         change subtraction to “add the opposite) 2)  Addition/Subtraction transformations 3) Simplify 4) Multiplication/Division transformations 5) Simplify
Learn to solve linear equations using two or more transformations      -2x  + 5  =  - 9      -2x   + 5  +  (-5)  =  -9  +  (-5)   Addition       -2x   +  0     =  - 14           Simplify        -2x          =    -14 -2                   -2                Division           x    =         7  go back and check mentally – does 7 work?
Learn to solve linear equations using two or more transformations 2x – 9x  + 17  =  -4       keep original equ. clean  -7x   +  17 =  -4     (combine like terms)     -7x  + 17  + (-17)  = -4 + (-17)      addition         -7x      =   -21             simplify        -7x       =   -21             division -7             -7          x      =      3                simplify                                             check mentally!!!
Learn to solve linear equations using two or more transformations
Learn to solve linear equations using two or more transformations
Solve

Weitere ähnliche Inhalte

Was ist angesagt?

A1 Test 3 study guide with answers
A1 Test 3 study guide with answersA1 Test 3 study guide with answers
A1 Test 3 study guide with answers
vhiggins1
 
Inequality
InequalityInequality
Inequality
gheovani
 
04 gaussian derivatives
04 gaussian derivatives04 gaussian derivatives
04 gaussian derivatives
MhAcKnI
 
Ppt equation and inequality group 5
Ppt equation and inequality group 5Ppt equation and inequality group 5
Ppt equation and inequality group 5
gheovani
 

Was ist angesagt? (20)

Moving Terms
Moving TermsMoving Terms
Moving Terms
 
Properties Of Mathematics 2007
Properties Of  Mathematics 2007Properties Of  Mathematics 2007
Properties Of Mathematics 2007
 
S1230109
S1230109S1230109
S1230109
 
2
22
2
 
Alg1 ch0702example12(1)
Alg1 ch0702example12(1)Alg1 ch0702example12(1)
Alg1 ch0702example12(1)
 
MT102 Лекц-1
MT102 Лекц-1MT102 Лекц-1
MT102 Лекц-1
 
MT102 Лекц-2
MT102 Лекц-2MT102 Лекц-2
MT102 Лекц-2
 
3 bessel's functions
3 bessel's functions3 bessel's functions
3 bessel's functions
 
MT102 Лекц 9
MT102 Лекц 9MT102 Лекц 9
MT102 Лекц 9
 
A1 Test 3 study guide with answers
A1 Test 3 study guide with answersA1 Test 3 study guide with answers
A1 Test 3 study guide with answers
 
Bessel equation
Bessel equationBessel equation
Bessel equation
 
Ch05 8
Ch05 8Ch05 8
Ch05 8
 
MT102 Лекц 11
MT102 Лекц 11MT102 Лекц 11
MT102 Лекц 11
 
Inequality
InequalityInequality
Inequality
 
ficha pedagogica, matematicas
ficha pedagogica, matematicasficha pedagogica, matematicas
ficha pedagogica, matematicas
 
Derivatives of inverse trig functions
Derivatives of inverse trig functionsDerivatives of inverse trig functions
Derivatives of inverse trig functions
 
Power Series - Legendre Polynomial - Bessel's Equation
Power Series - Legendre Polynomial - Bessel's EquationPower Series - Legendre Polynomial - Bessel's Equation
Power Series - Legendre Polynomial - Bessel's Equation
 
04 gaussian derivatives
04 gaussian derivatives04 gaussian derivatives
04 gaussian derivatives
 
Unidad 1 (segunda parte)
Unidad 1 (segunda parte)Unidad 1 (segunda parte)
Unidad 1 (segunda parte)
 
Ppt equation and inequality group 5
Ppt equation and inequality group 5Ppt equation and inequality group 5
Ppt equation and inequality group 5
 

Ähnlich wie 3.2 solve two step equations - day 1

Ähnlich wie 3.2 solve two step equations - day 1 (20)

3.3 two step equations 1
3.3 two step equations 13.3 two step equations 1
3.3 two step equations 1
 
3.1 equation add & subt 1
3.1  equation add & subt 13.1  equation add & subt 1
3.1 equation add & subt 1
 
Clark S Final Project
Clark S Final ProjectClark S Final Project
Clark S Final Project
 
Simple Equations I
Simple Equations ISimple Equations I
Simple Equations I
 
Math 10 aim 1.6 1.7
Math 10 aim 1.6 1.7Math 10 aim 1.6 1.7
Math 10 aim 1.6 1.7
 
January 31, 2014
January 31, 2014January 31, 2014
January 31, 2014
 
Day 5 combining like terms equations
Day 5 combining like terms equationsDay 5 combining like terms equations
Day 5 combining like terms equations
 
November 14, 2014 compound
November 14, 2014 compound November 14, 2014 compound
November 14, 2014 compound
 
6.1 multi step w-dist. property 1
6.1 multi step w-dist. property 16.1 multi step w-dist. property 1
6.1 multi step w-dist. property 1
 
1022 linearequations
1022 linearequations1022 linearequations
1022 linearequations
 
Contextualized Lesson Plan in Math 7 Linear Equation in One Variable
Contextualized Lesson Plan in Math 7 Linear Equation in One VariableContextualized Lesson Plan in Math 7 Linear Equation in One Variable
Contextualized Lesson Plan in Math 7 Linear Equation in One Variable
 
Solve systemsbygraphing
Solve systemsbygraphingSolve systemsbygraphing
Solve systemsbygraphing
 
Solve systemsbygraphing
Solve systemsbygraphingSolve systemsbygraphing
Solve systemsbygraphing
 
Solving equations
Solving equationsSolving equations
Solving equations
 
Feb. 4, 2014
Feb. 4, 2014Feb. 4, 2014
Feb. 4, 2014
 
31 32review Equation Steps
31 32review Equation Steps31 32review Equation Steps
31 32review Equation Steps
 
Solving One Step Equations
Solving One Step Equations Solving One Step Equations
Solving One Step Equations
 
February 5, 2014
February 5, 2014February 5, 2014
February 5, 2014
 
Solve systemsbygraphing
Solve systemsbygraphingSolve systemsbygraphing
Solve systemsbygraphing
 
Alg1 8.2 Substitution Method
Alg1 8.2 Substitution MethodAlg1 8.2 Substitution Method
Alg1 8.2 Substitution Method
 

Mehr von bweldon

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

Mehr von 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
 

Kürzlich hochgeladen

CNv6 Instructor Chapter 6 Quality of Service
CNv6 Instructor Chapter 6 Quality of ServiceCNv6 Instructor Chapter 6 Quality of Service
CNv6 Instructor Chapter 6 Quality of Service
giselly40
 
Artificial Intelligence: Facts and Myths
Artificial Intelligence: Facts and MythsArtificial Intelligence: Facts and Myths
Artificial Intelligence: Facts and Myths
Joaquim Jorge
 
Histor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slideHistor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slide
vu2urc
 

Kürzlich hochgeladen (20)

CNv6 Instructor Chapter 6 Quality of Service
CNv6 Instructor Chapter 6 Quality of ServiceCNv6 Instructor Chapter 6 Quality of Service
CNv6 Instructor Chapter 6 Quality of Service
 
Handwritten Text Recognition for manuscripts and early printed texts
Handwritten Text Recognition for manuscripts and early printed textsHandwritten Text Recognition for manuscripts and early printed texts
Handwritten Text Recognition for manuscripts and early printed texts
 
Scaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organizationScaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organization
 
Factors to Consider When Choosing Accounts Payable Services Providers.pptx
Factors to Consider When Choosing Accounts Payable Services Providers.pptxFactors to Consider When Choosing Accounts Payable Services Providers.pptx
Factors to Consider When Choosing Accounts Payable Services Providers.pptx
 
Apidays Singapore 2024 - Building Digital Trust in a Digital Economy by Veron...
Apidays Singapore 2024 - Building Digital Trust in a Digital Economy by Veron...Apidays Singapore 2024 - Building Digital Trust in a Digital Economy by Veron...
Apidays Singapore 2024 - Building Digital Trust in a Digital Economy by Veron...
 
Artificial Intelligence: Facts and Myths
Artificial Intelligence: Facts and MythsArtificial Intelligence: Facts and Myths
Artificial Intelligence: Facts and Myths
 
Histor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slideHistor y of HAM Radio presentation slide
Histor y of HAM Radio presentation slide
 
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...
 
08448380779 Call Girls In Greater Kailash - I Women Seeking Men
08448380779 Call Girls In Greater Kailash - I Women Seeking Men08448380779 Call Girls In Greater Kailash - I Women Seeking Men
08448380779 Call Girls In Greater Kailash - I Women Seeking Men
 
GenCyber Cyber Security Day Presentation
GenCyber Cyber Security Day PresentationGenCyber Cyber Security Day Presentation
GenCyber Cyber Security Day Presentation
 
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
 
The Role of Taxonomy and Ontology in Semantic Layers - Heather Hedden.pdf
The Role of Taxonomy and Ontology in Semantic Layers - Heather Hedden.pdfThe Role of Taxonomy and Ontology in Semantic Layers - Heather Hedden.pdf
The Role of Taxonomy and Ontology in Semantic Layers - Heather Hedden.pdf
 
Slack Application Development 101 Slides
Slack Application Development 101 SlidesSlack Application Development 101 Slides
Slack Application Development 101 Slides
 
[2024]Digital Global Overview Report 2024 Meltwater.pdf
[2024]Digital Global Overview Report 2024 Meltwater.pdf[2024]Digital Global Overview Report 2024 Meltwater.pdf
[2024]Digital Global Overview Report 2024 Meltwater.pdf
 
Exploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone ProcessorsExploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone Processors
 
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
 
08448380779 Call Girls In Civil Lines Women Seeking Men
08448380779 Call Girls In Civil Lines Women Seeking Men08448380779 Call Girls In Civil Lines Women Seeking Men
08448380779 Call Girls In Civil Lines Women Seeking Men
 
Boost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivityBoost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivity
 
Raspberry Pi 5: Challenges and Solutions in Bringing up an OpenGL/Vulkan Driv...
Raspberry Pi 5: Challenges and Solutions in Bringing up an OpenGL/Vulkan Driv...Raspberry Pi 5: Challenges and Solutions in Bringing up an OpenGL/Vulkan Driv...
Raspberry Pi 5: Challenges and Solutions in Bringing up an OpenGL/Vulkan Driv...
 
Breaking the Kubernetes Kill Chain: Host Path Mount
Breaking the Kubernetes Kill Chain: Host Path MountBreaking the Kubernetes Kill Chain: Host Path Mount
Breaking the Kubernetes Kill Chain: Host Path Mount
 

3.2 solve two step equations - day 1

  • 1. Solving Multi-Step Equations Section 3.2 P. 141
  • 2. Today we will learn to solve linear equations using two or more transformations. Again – think about “undoing” what has been done to the variable – using inverse operations!
  • 3. Learn to solve linear equations using two or more transformations Do these look familiar to you?
  • 4. Learn to solve linear equations using two or more transformations Today our equations will look more like this: Why do you think these are called two-step equations?
  • 5. Learn to solve linear equations using two or more transformations Let’s take a closer look at this equation. Focus on the variable and how the numbers are attached to the variable. Attached by “what operations?” If I “UNDO” this equation using inverse operations, what should I undo first? Why?
  • 6. “Undo” Steps 1) Simplify both sides( may include the distributive property, combining like terms, change subtraction to “add the opposite) 2) Addition/Subtraction transformations 3) Simplify 4) Multiplication/Division transformations 5) Simplify
  • 7. Learn to solve linear equations using two or more transformations -2x + 5 = - 9 -2x + 5 + (-5) = -9 + (-5) Addition -2x + 0 = - 14 Simplify -2x = -14 -2 -2 Division x = 7 go back and check mentally – does 7 work?
  • 8. Learn to solve linear equations using two or more transformations 2x – 9x + 17 = -4 keep original equ. clean -7x + 17 = -4 (combine like terms) -7x + 17 + (-17) = -4 + (-17) addition -7x = -21 simplify -7x = -21 division -7 -7 x = 3 simplify check mentally!!!
  • 9. Learn to solve linear equations using two or more transformations
  • 10. Learn to solve linear equations using two or more transformations
  • 11. Solve
  • 12. Assignment: p. 144 (#6-14, 21) You must show all your steps. Just answers won’t get your problem correct. Don’t forget to “CHECK” each problem!