For what values of m will   x2 + 8x ­ m = 0 

a) Have only one root?

b) Have real and unequal roots?




                                               1
2
 Absolute Values 
                       Solving Equations Involving Absolute Values




   The absolute value can be thought of as its distance from 0 on a number line.

   Any positive and negative number are each a positive distance from 0.

   Absolute values are only concerned with distance rather than direction




Ex. If the absolute value of m = 17, what are the possible values of m


Ex. If  x + 2 = 12 

a) What are the possible values that x + 2 might equal?


b) What are the possible values for x?




  Ex.




                                                                                   3
4
5
You must solve two equations

One when the value of                is equal to the positive value of 
the right side

The other when the value of              is equal to a negative value 
of the right side

Once you find all of the possible values for x you must then check 
your solutions in the equation

You will find through your check that some of the solutions may not 
be possible




                                                                          6
7
8

More Related Content

ODP
Equations and inequalities
PPTX
Linear Equation In One Variable
PPSX
Methods of Solving Quadratic Equations
PPT
TIU CET Review Math Session 6 - part 1 of 2
PPTX
Himanshu math ppt
PPTX
Unit 3 review
PPTX
Graph of a linear equation horizontal lines
PPTX
7.5 notes[1]
Equations and inequalities
Linear Equation In One Variable
Methods of Solving Quadratic Equations
TIU CET Review Math Session 6 - part 1 of 2
Himanshu math ppt
Unit 3 review
Graph of a linear equation horizontal lines
7.5 notes[1]

What's hot (20)

PPTX
Graph of a linear equation practice problems
PPT
Solving Systems of Equations-graphing and Elimination
PPTX
Unit 6 lesson 1: Identifying a System
PPTX
Real numbers
PPTX
Overview
PPTX
Conjuntos Evelys Fonseca
PPTX
1.1/1.2 Properties of Real Numbers
PPTX
Methods7 exponential equations
PPTX
Leonhard euler
DOCX
Equations math project
PPTX
Mathematics assignment
PPTX
3 3 polynomial inequalities in two variables
PPTX
2 Step Equations.pptx
PDF
CBSE Class 10 Mathematics Real Numbers Topic
PPT
Lesson 2-5
PPTX
A19-4 solve quadratic graphing
PPT
Euclids geometry for class IX by G R Ahmed
PPT
Linear Inequality
PPT
Compound Inequalities (Algebra 2)
Graph of a linear equation practice problems
Solving Systems of Equations-graphing and Elimination
Unit 6 lesson 1: Identifying a System
Real numbers
Overview
Conjuntos Evelys Fonseca
1.1/1.2 Properties of Real Numbers
Methods7 exponential equations
Leonhard euler
Equations math project
Mathematics assignment
3 3 polynomial inequalities in two variables
2 Step Equations.pptx
CBSE Class 10 Mathematics Real Numbers Topic
Lesson 2-5
A19-4 solve quadratic graphing
Euclids geometry for class IX by G R Ahmed
Linear Inequality
Compound Inequalities (Algebra 2)
Ad

Similar to Oct 22 Absolute Values And Equations (20)

PDF
Linear equations
PDF
Linear equations
PPT
discriminant.ppt ngkgklglglgkgmmrlelfkhkkg
PPTX
discriminant.pptx
PPTX
Liner equation two variables
PPTX
Consistency of linear equations in two and three variables
PPTX
linear equation in two variable.pptx
PPTX
Class IX- Linear Equation in Two Variables-IX.pptx
PPTX
Maths project for class 10 th
PPTX
Discriminant the use and importance.pptx
PPT
Quadratic_Inequalities---------------------
PDF
Day 8 - Rational Inequalities
PPTX
Notations scientific for grade 6 onwards
PPTX
LINEAR EQUATION IN TWO VARIABLES
PPTX
Linear, quardratic equations
PPT
CLASS 9 LINEAR EQUATIONS IN TWO VARIABLES PPT
PPTX
Class IX- Linear Equation in Two Variables-IX.pptx
PDF
Absolute Value Equations And Inequalities
PPT
G9 Math Q1- Week 1 Intro of Quadratic Equation.ppt
PPTX
MATHS PRESENTATION
Linear equations
Linear equations
discriminant.ppt ngkgklglglgkgmmrlelfkhkkg
discriminant.pptx
Liner equation two variables
Consistency of linear equations in two and three variables
linear equation in two variable.pptx
Class IX- Linear Equation in Two Variables-IX.pptx
Maths project for class 10 th
Discriminant the use and importance.pptx
Quadratic_Inequalities---------------------
Day 8 - Rational Inequalities
Notations scientific for grade 6 onwards
LINEAR EQUATION IN TWO VARIABLES
Linear, quardratic equations
CLASS 9 LINEAR EQUATIONS IN TWO VARIABLES PPT
Class IX- Linear Equation in Two Variables-IX.pptx
Absolute Value Equations And Inequalities
G9 Math Q1- Week 1 Intro of Quadratic Equation.ppt
MATHS PRESENTATION
Ad

More from RyanWatt (20)

PDF
Ch 6 test (text) unit 2 handout unit 1 handout
PDF
Ch 5 test (text) unit3 review (text) unit 1 test (text)
PDF
Ch 4 test (text) unit 2 test (text) unit 1 test(text)
PDF
Ch 3 test (text) unit 3 test (text) unit 3 handout
PDF
Ch 2 test(text) ch 2 review(text) unit 1 review(text)
PDF
10.1 slideshare
PDF
Ch 7 Review March 18
PDF
Quadratic Function Presentation
PDF
Circlegeo
PDF
Algebra Electronic Presentation Expert Voices F I N A L
PDF
Math Presentation
PDF
Graphing Rational Functions 2
PDF
Graphing Rational Functions
PDF
Jan. 8 Remainder Theorem
PDF
Jan. 8 Synthetic Division
PDF
Jan. 7 Composite Functions And Domain
PDF
Jan. 8 Ch.4 Test Review
PDF
Jan. 13 polynonial sketching
PDF
Jan. 12 Binomial Factor Theorm
PDF
Jan. 6 Inverse Functions
Ch 6 test (text) unit 2 handout unit 1 handout
Ch 5 test (text) unit3 review (text) unit 1 test (text)
Ch 4 test (text) unit 2 test (text) unit 1 test(text)
Ch 3 test (text) unit 3 test (text) unit 3 handout
Ch 2 test(text) ch 2 review(text) unit 1 review(text)
10.1 slideshare
Ch 7 Review March 18
Quadratic Function Presentation
Circlegeo
Algebra Electronic Presentation Expert Voices F I N A L
Math Presentation
Graphing Rational Functions 2
Graphing Rational Functions
Jan. 8 Remainder Theorem
Jan. 8 Synthetic Division
Jan. 7 Composite Functions And Domain
Jan. 8 Ch.4 Test Review
Jan. 13 polynonial sketching
Jan. 12 Binomial Factor Theorm
Jan. 6 Inverse Functions

Recently uploaded (20)

PDF
How ambidextrous entrepreneurial leaders react to the artificial intelligence...
PPTX
Modernising the Digital Integration Hub
PDF
Two-dimensional Klein-Gordon and Sine-Gordon numerical solutions based on dee...
PPT
Geologic Time for studying geology for geologist
PDF
Produktkatalog für HOBO Datenlogger, Wetterstationen, Sensoren, Software und ...
PDF
TrustArc Webinar - Click, Consent, Trust: Winning the Privacy Game
PPTX
Configure Apache Mutual Authentication
PDF
The influence of sentiment analysis in enhancing early warning system model f...
PDF
Abstractive summarization using multilingual text-to-text transfer transforme...
PDF
Taming the Chaos: How to Turn Unstructured Data into Decisions
PPTX
MicrosoftCybserSecurityReferenceArchitecture-April-2025.pptx
PDF
Hindi spoken digit analysis for native and non-native speakers
PDF
sbt 2.0: go big (Scala Days 2025 edition)
PDF
A review of recent deep learning applications in wood surface defect identifi...
PDF
Enhancing emotion recognition model for a student engagement use case through...
PDF
A comparative study of natural language inference in Swahili using monolingua...
PDF
NewMind AI Weekly Chronicles – August ’25 Week III
PPT
Galois Field Theory of Risk: A Perspective, Protocol, and Mathematical Backgr...
PDF
STKI Israel Market Study 2025 version august
PDF
Flame analysis and combustion estimation using large language and vision assi...
How ambidextrous entrepreneurial leaders react to the artificial intelligence...
Modernising the Digital Integration Hub
Two-dimensional Klein-Gordon and Sine-Gordon numerical solutions based on dee...
Geologic Time for studying geology for geologist
Produktkatalog für HOBO Datenlogger, Wetterstationen, Sensoren, Software und ...
TrustArc Webinar - Click, Consent, Trust: Winning the Privacy Game
Configure Apache Mutual Authentication
The influence of sentiment analysis in enhancing early warning system model f...
Abstractive summarization using multilingual text-to-text transfer transforme...
Taming the Chaos: How to Turn Unstructured Data into Decisions
MicrosoftCybserSecurityReferenceArchitecture-April-2025.pptx
Hindi spoken digit analysis for native and non-native speakers
sbt 2.0: go big (Scala Days 2025 edition)
A review of recent deep learning applications in wood surface defect identifi...
Enhancing emotion recognition model for a student engagement use case through...
A comparative study of natural language inference in Swahili using monolingua...
NewMind AI Weekly Chronicles – August ’25 Week III
Galois Field Theory of Risk: A Perspective, Protocol, and Mathematical Backgr...
STKI Israel Market Study 2025 version august
Flame analysis and combustion estimation using large language and vision assi...

Oct 22 Absolute Values And Equations

  • 2. 2
  • 3.  Absolute Values   Solving Equations Involving Absolute Values The absolute value can be thought of as its distance from 0 on a number line. Any positive and negative number are each a positive distance from 0. Absolute values are only concerned with distance rather than direction Ex. If the absolute value of m = 17, what are the possible values of m Ex. If  x + 2 = 12  a) What are the possible values that x + 2 might equal? b) What are the possible values for x? Ex. 3
  • 4. 4
  • 5. 5
  • 6. You must solve two equations One when the value of        is equal to the positive value of  the right side The other when the value of      is equal to a negative value  of the right side Once you find all of the possible values for x you must then check  your solutions in the equation You will find through your check that some of the solutions may not  be possible 6
  • 7. 7
  • 8. 8