SlideShare una empresa de Scribd logo
1 de 17
Descargar para leer sin conexión
Algebra
• Disclaimer:This presentation is prepared by trainees of
  baabtra as a part of mentoring program. This is not
  official document of baabtra –Mentoring Partner
•   Baabtra-Mentoring Partner is the mentoring division of baabte System Technologies Pvt
    . Ltd
ALGEBRA
PROBLEMS
  Ashwin Anand V
  Email:ashwinanand99@gmail.com
  Facebook id:ashwinanand99@gmail.com
1) If f(x) = 5 - 2x, then f -1(-3) = ?

a) 3               b) 4
c) 6               d) 8
2) If f(x) = x - 4, then (f o f)(3) = ?

a) 4         b) -3
c) -5        d) -11
3) The number of solutions of (x2 + 1)2 +
2(x2 + 1) - 3 = 0 is equal to ?

a) 1            b) 3
c) 0            d) 2
4) Find the distance between the points (-4 , -5)
and (-1 , -1).

a) 16            b) 5
c) 3             d) 6
5) Evaluate f(2) - f(1)
f(x) = 6x + 1

a) 3              b) 4
c) 5              d) 6
Algebra
Solution 1:

Find f -1(x) and then Find f -1(- 3)

y = 5 - 2x , given

x = 5 - 2y , interchange x and y

2y = 5 - x , y = log2(5 - x) , solve for y

f -1(x) = log2(5 - x) , inverse function

f -1(- 3) = log2(5 + 3)

= log2(23) = 3
Solution 2 :

If f(x) = x - 4, then (f o f)(3) =

(f o f)(3)
             = f(f(3))
             = f(3 - 4)
             = f(-1)
             =-5
Solution 3

Let u = x2 + 1 and rewrite the given equation in terms of u as follows
u 2 + 2u - 3 = 0

Factor and solve the above equation
(u + 3)(u - 1) = 0
two solutions: u = x2 + 1 = - 3 and u = x2 + 1 = 1

Equation x2 + 1 = - 3 has no solutions. Solve the equation x2 + 1 = 1
for to get
x = 0.
The given equation has one solution.
Solution 4

The distance d between points (-4 , -5) and (-1 , -1) is given by

d = sqrt[ (-1 - -4) 2 + (-1 - -5) 2 ]

Simplify.

d = sqrt(9 + 16) = 5
Solution 5

Given the function

f(x) = 6x + 1
f(2) - f(1) is given by.

f(2) - f(1) = (6*2 + 1) - (6*1 + 1) = 6
• If this presentation helped you, please visit
  our page facebook.com/baabtra and like it.
  Thanks in advance.

• www.baabtra.com | www.massbaab.com |ww
  w.baabte.com
Thank you
Contact Us

Más contenido relacionado

La actualidad más candente

Distributive property
Distributive propertyDistributive property
Distributive propertymarniekrentz
 
Section 1.5 distributive property (algebra)
Section 1.5 distributive property (algebra)Section 1.5 distributive property (algebra)
Section 1.5 distributive property (algebra)Algebra / Mathematics
 
Addition and Subtraction of Polynomials
Addition and Subtraction of PolynomialsAddition and Subtraction of Polynomials
Addition and Subtraction of PolynomialsJoyYamut1
 
1475050 634780970474440000
1475050 6347809704744400001475050 634780970474440000
1475050 634780970474440000Aditee Chakurkar
 
2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)
2d. Pedagogy of Mathematics -  Part II (Numbers and Sequence - Ex 2.4)2d. Pedagogy of Mathematics -  Part II (Numbers and Sequence - Ex 2.4)
2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)Dr. I. Uma Maheswari Maheswari
 
1.4 complex numbers t
1.4 complex numbers t1.4 complex numbers t
1.4 complex numbers tmath260
 
2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)
2e. Pedagogy of Mathematics -  Part II (Numbers and Sequence - Ex 2.5)2e. Pedagogy of Mathematics -  Part II (Numbers and Sequence - Ex 2.5)
2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)Dr. I. Uma Maheswari Maheswari
 
4th quarter long test review
4th quarter long test review4th quarter long test review
4th quarter long test reviewHanielle Cheng
 
Section 1.4 circles
Section 1.4 circles Section 1.4 circles
Section 1.4 circles Wong Hsiung
 
09 p.t (straight line + circle) solution
09 p.t (straight line + circle) solution09 p.t (straight line + circle) solution
09 p.t (straight line + circle) solutionAnamikaRoy39
 
Distributive Property
Distributive  PropertyDistributive  Property
Distributive Propertybraunhardtl
 
1.1 ss factoring the difference of two squares
1.1 ss factoring the difference of two squares1.1 ss factoring the difference of two squares
1.1 ss factoring the difference of two squaresJessebelBautista
 
Sample fin
Sample finSample fin
Sample finmath123a
 
Adding & Subtracting Polynomials
Adding & Subtracting PolynomialsAdding & Subtracting Polynomials
Adding & Subtracting PolynomialsBitsy Griffin
 
Pythagorean theorem and distance formula
Pythagorean theorem and distance formulaPythagorean theorem and distance formula
Pythagorean theorem and distance formula41878010
 
Ισοδύναμα κλάσματα
Ισοδύναμα κλάσματαΙσοδύναμα κλάσματα
Ισοδύναμα κλάσματαteaghet
 
Evalutating alg. expressions
Evalutating alg. expressionsEvalutating alg. expressions
Evalutating alg. expressionsI.S. 49
 

La actualidad más candente (20)

Distributive property
Distributive propertyDistributive property
Distributive property
 
Section 1.5 distributive property (algebra)
Section 1.5 distributive property (algebra)Section 1.5 distributive property (algebra)
Section 1.5 distributive property (algebra)
 
Addition and Subtraction of Polynomials
Addition and Subtraction of PolynomialsAddition and Subtraction of Polynomials
Addition and Subtraction of Polynomials
 
1475050 634780970474440000
1475050 6347809704744400001475050 634780970474440000
1475050 634780970474440000
 
2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)
2d. Pedagogy of Mathematics -  Part II (Numbers and Sequence - Ex 2.4)2d. Pedagogy of Mathematics -  Part II (Numbers and Sequence - Ex 2.4)
2d. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.4)
 
1.4 complex numbers t
1.4 complex numbers t1.4 complex numbers t
1.4 complex numbers t
 
2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)
2e. Pedagogy of Mathematics -  Part II (Numbers and Sequence - Ex 2.5)2e. Pedagogy of Mathematics -  Part II (Numbers and Sequence - Ex 2.5)
2e. Pedagogy of Mathematics - Part II (Numbers and Sequence - Ex 2.5)
 
4th quarter long test review
4th quarter long test review4th quarter long test review
4th quarter long test review
 
two intercept form
 two intercept form two intercept form
two intercept form
 
Section 1.4 circles
Section 1.4 circles Section 1.4 circles
Section 1.4 circles
 
09 p.t (straight line + circle) solution
09 p.t (straight line + circle) solution09 p.t (straight line + circle) solution
09 p.t (straight line + circle) solution
 
Distributive Property
Distributive  PropertyDistributive  Property
Distributive Property
 
Distributive
DistributiveDistributive
Distributive
 
1.1 ss factoring the difference of two squares
1.1 ss factoring the difference of two squares1.1 ss factoring the difference of two squares
1.1 ss factoring the difference of two squares
 
Sample fin
Sample finSample fin
Sample fin
 
Adding & Subtracting Polynomials
Adding & Subtracting PolynomialsAdding & Subtracting Polynomials
Adding & Subtracting Polynomials
 
Pythagorean theorem and distance formula
Pythagorean theorem and distance formulaPythagorean theorem and distance formula
Pythagorean theorem and distance formula
 
Ισοδύναμα κλάσματα
Ισοδύναμα κλάσματαΙσοδύναμα κλάσματα
Ισοδύναμα κλάσματα
 
Factoring Quadratic Trinomials
Factoring Quadratic TrinomialsFactoring Quadratic Trinomials
Factoring Quadratic Trinomials
 
Evalutating alg. expressions
Evalutating alg. expressionsEvalutating alg. expressions
Evalutating alg. expressions
 

Destacado (7)

Server side scripting
Server side scriptingServer side scripting
Server side scripting
 
Improving spelling
Improving spellingImproving spelling
Improving spelling
 
Dbdesign
DbdesignDbdesign
Dbdesign
 
Exception handling
Exception handlingException handling
Exception handling
 
Xml
XmlXml
Xml
 
Logical Reasoning
Logical ReasoningLogical Reasoning
Logical Reasoning
 
Decision support system
Decision support systemDecision support system
Decision support system
 

Similar a Algebra

College algebra real mathematics real people 7th edition larson solutions manual
College algebra real mathematics real people 7th edition larson solutions manualCollege algebra real mathematics real people 7th edition larson solutions manual
College algebra real mathematics real people 7th edition larson solutions manualJohnstonTBL
 
Lecture 03 special products and factoring
Lecture 03 special products and factoringLecture 03 special products and factoring
Lecture 03 special products and factoringHazel Joy Chong
 
Form 4 Add Maths Note
Form 4 Add Maths NoteForm 4 Add Maths Note
Form 4 Add Maths NoteChek Wei Tan
 
Form 4-add-maths-note
Form 4-add-maths-noteForm 4-add-maths-note
Form 4-add-maths-notejacey tan
 
Stacks image 1721_36
Stacks image 1721_36Stacks image 1721_36
Stacks image 1721_36Dreams4school
 
Online math tutors (1)
Online math tutors (1)Online math tutors (1)
Online math tutors (1)Faisal Khan
 
Factoring 15.3 and 15.4 Grouping and Trial and Error
Factoring 15.3 and 15.4 Grouping and Trial and ErrorFactoring 15.3 and 15.4 Grouping and Trial and Error
Factoring 15.3 and 15.4 Grouping and Trial and Errorswartzje
 
1.2 algebraic expressions t
1.2 algebraic expressions t1.2 algebraic expressions t
1.2 algebraic expressions tmath260
 
GCSEYr9-SolvingQuadratics.pptx
GCSEYr9-SolvingQuadratics.pptxGCSEYr9-SolvingQuadratics.pptx
GCSEYr9-SolvingQuadratics.pptxAngelle Pantig
 
Matematika Kalkulus ( Limit )
Matematika Kalkulus ( Limit )Matematika Kalkulus ( Limit )
Matematika Kalkulus ( Limit )fdjouhana
 
Higher Maths 2.1.1 - Polynomials
Higher Maths 2.1.1 - PolynomialsHigher Maths 2.1.1 - Polynomials
Higher Maths 2.1.1 - Polynomialstimschmitz
 
3c. Pedagogy of Mathematics (Part II) - Algebra (Ex 3.3)
3c. Pedagogy of Mathematics (Part II) - Algebra (Ex 3.3)3c. Pedagogy of Mathematics (Part II) - Algebra (Ex 3.3)
3c. Pedagogy of Mathematics (Part II) - Algebra (Ex 3.3)Dr. I. Uma Maheswari Maheswari
 
Distributive property ppt
Distributive property pptDistributive property ppt
Distributive property pptnglaze10
 
Chapter1 functions
Chapter1 functionsChapter1 functions
Chapter1 functionsMonie Joey
 
Algebra Revision.ppt
Algebra Revision.pptAlgebra Revision.ppt
Algebra Revision.pptAaronChi5
 

Similar a Algebra (20)

College algebra real mathematics real people 7th edition larson solutions manual
College algebra real mathematics real people 7th edition larson solutions manualCollege algebra real mathematics real people 7th edition larson solutions manual
College algebra real mathematics real people 7th edition larson solutions manual
 
Lecture 03 special products and factoring
Lecture 03 special products and factoringLecture 03 special products and factoring
Lecture 03 special products and factoring
 
Form 4 Add Maths Note
Form 4 Add Maths NoteForm 4 Add Maths Note
Form 4 Add Maths Note
 
Form 4-add-maths-note
Form 4-add-maths-noteForm 4-add-maths-note
Form 4-add-maths-note
 
New stack
New stackNew stack
New stack
 
Ceramah Add Mth
Ceramah Add MthCeramah Add Mth
Ceramah Add Mth
 
Stacks image 1721_36
Stacks image 1721_36Stacks image 1721_36
Stacks image 1721_36
 
Quadratic Equations
Quadratic EquationsQuadratic Equations
Quadratic Equations
 
Online math tutors (1)
Online math tutors (1)Online math tutors (1)
Online math tutors (1)
 
Factoring 15.3 and 15.4 Grouping and Trial and Error
Factoring 15.3 and 15.4 Grouping and Trial and ErrorFactoring 15.3 and 15.4 Grouping and Trial and Error
Factoring 15.3 and 15.4 Grouping and Trial and Error
 
1.2 algebraic expressions t
1.2 algebraic expressions t1.2 algebraic expressions t
1.2 algebraic expressions t
 
GCSEYr9-SolvingQuadratics.pptx
GCSEYr9-SolvingQuadratics.pptxGCSEYr9-SolvingQuadratics.pptx
GCSEYr9-SolvingQuadratics.pptx
 
Matematika Kalkulus ( Limit )
Matematika Kalkulus ( Limit )Matematika Kalkulus ( Limit )
Matematika Kalkulus ( Limit )
 
Higher Maths 2.1.1 - Polynomials
Higher Maths 2.1.1 - PolynomialsHigher Maths 2.1.1 - Polynomials
Higher Maths 2.1.1 - Polynomials
 
3c. Pedagogy of Mathematics (Part II) - Algebra (Ex 3.3)
3c. Pedagogy of Mathematics (Part II) - Algebra (Ex 3.3)3c. Pedagogy of Mathematics (Part II) - Algebra (Ex 3.3)
3c. Pedagogy of Mathematics (Part II) - Algebra (Ex 3.3)
 
indice-ppt.ppt
indice-ppt.pptindice-ppt.ppt
indice-ppt.ppt
 
Distributive property ppt
Distributive property pptDistributive property ppt
Distributive property ppt
 
Chapter1 functions
Chapter1 functionsChapter1 functions
Chapter1 functions
 
Chapter1 functions
Chapter1 functionsChapter1 functions
Chapter1 functions
 
Algebra Revision.ppt
Algebra Revision.pptAlgebra Revision.ppt
Algebra Revision.ppt
 

Más de baabtra.com - No. 1 supplier of quality freshers

Más de baabtra.com - No. 1 supplier of quality freshers (20)

Agile methodology and scrum development
Agile methodology and scrum developmentAgile methodology and scrum development
Agile methodology and scrum development
 
Best coding practices
Best coding practicesBest coding practices
Best coding practices
 
Core java - baabtra
Core java - baabtraCore java - baabtra
Core java - baabtra
 
Acquiring new skills what you should know
Acquiring new skills   what you should knowAcquiring new skills   what you should know
Acquiring new skills what you should know
 
Baabtra.com programming at school
Baabtra.com programming at schoolBaabtra.com programming at school
Baabtra.com programming at school
 
99LMS for Enterprises - LMS that you will love
99LMS for Enterprises - LMS that you will love 99LMS for Enterprises - LMS that you will love
99LMS for Enterprises - LMS that you will love
 
Php sessions & cookies
Php sessions & cookiesPhp sessions & cookies
Php sessions & cookies
 
Php database connectivity
Php database connectivityPhp database connectivity
Php database connectivity
 
Chapter 6 database normalisation
Chapter 6  database normalisationChapter 6  database normalisation
Chapter 6 database normalisation
 
Chapter 5 transactions and dcl statements
Chapter 5  transactions and dcl statementsChapter 5  transactions and dcl statements
Chapter 5 transactions and dcl statements
 
Chapter 4 functions, views, indexing
Chapter 4  functions, views, indexingChapter 4  functions, views, indexing
Chapter 4 functions, views, indexing
 
Chapter 3 stored procedures
Chapter 3 stored proceduresChapter 3 stored procedures
Chapter 3 stored procedures
 
Chapter 2 grouping,scalar and aggergate functions,joins inner join,outer join
Chapter 2  grouping,scalar and aggergate functions,joins   inner join,outer joinChapter 2  grouping,scalar and aggergate functions,joins   inner join,outer join
Chapter 2 grouping,scalar and aggergate functions,joins inner join,outer join
 
Chapter 1 introduction to sql server
Chapter 1 introduction to sql serverChapter 1 introduction to sql server
Chapter 1 introduction to sql server
 
Chapter 1 introduction to sql server
Chapter 1 introduction to sql serverChapter 1 introduction to sql server
Chapter 1 introduction to sql server
 
Microsoft holo lens
Microsoft holo lensMicrosoft holo lens
Microsoft holo lens
 
Blue brain
Blue brainBlue brain
Blue brain
 
5g
5g5g
5g
 
Aptitude skills baabtra
Aptitude skills baabtraAptitude skills baabtra
Aptitude skills baabtra
 
Gd baabtra
Gd baabtraGd baabtra
Gd baabtra
 

Algebra

  • 2. • Disclaimer:This presentation is prepared by trainees of baabtra as a part of mentoring program. This is not official document of baabtra –Mentoring Partner • Baabtra-Mentoring Partner is the mentoring division of baabte System Technologies Pvt . Ltd
  • 3. ALGEBRA PROBLEMS Ashwin Anand V Email:ashwinanand99@gmail.com Facebook id:ashwinanand99@gmail.com
  • 4. 1) If f(x) = 5 - 2x, then f -1(-3) = ? a) 3 b) 4 c) 6 d) 8
  • 5. 2) If f(x) = x - 4, then (f o f)(3) = ? a) 4 b) -3 c) -5 d) -11
  • 6. 3) The number of solutions of (x2 + 1)2 + 2(x2 + 1) - 3 = 0 is equal to ? a) 1 b) 3 c) 0 d) 2
  • 7. 4) Find the distance between the points (-4 , -5) and (-1 , -1). a) 16 b) 5 c) 3 d) 6
  • 8. 5) Evaluate f(2) - f(1) f(x) = 6x + 1 a) 3 b) 4 c) 5 d) 6
  • 10. Solution 1: Find f -1(x) and then Find f -1(- 3) y = 5 - 2x , given x = 5 - 2y , interchange x and y 2y = 5 - x , y = log2(5 - x) , solve for y f -1(x) = log2(5 - x) , inverse function f -1(- 3) = log2(5 + 3) = log2(23) = 3
  • 11. Solution 2 : If f(x) = x - 4, then (f o f)(3) = (f o f)(3) = f(f(3)) = f(3 - 4) = f(-1) =-5
  • 12. Solution 3 Let u = x2 + 1 and rewrite the given equation in terms of u as follows u 2 + 2u - 3 = 0 Factor and solve the above equation (u + 3)(u - 1) = 0 two solutions: u = x2 + 1 = - 3 and u = x2 + 1 = 1 Equation x2 + 1 = - 3 has no solutions. Solve the equation x2 + 1 = 1 for to get x = 0. The given equation has one solution.
  • 13. Solution 4 The distance d between points (-4 , -5) and (-1 , -1) is given by d = sqrt[ (-1 - -4) 2 + (-1 - -5) 2 ] Simplify. d = sqrt(9 + 16) = 5
  • 14. Solution 5 Given the function f(x) = 6x + 1 f(2) - f(1) is given by. f(2) - f(1) = (6*2 + 1) - (6*1 + 1) = 6
  • 15. • If this presentation helped you, please visit our page facebook.com/baabtra and like it. Thanks in advance. • www.baabtra.com | www.massbaab.com |ww w.baabte.com