Enviar búsqueda
Cargar
8.6+applications+and+problem+solving
•
Descargar como PPT, PDF
•
0 recomendaciones
•
503 vistas
J
jayjer
Seguir
Denunciar
Compartir
Denunciar
Compartir
1 de 19
Descargar ahora
Recomendados
L 2.10
L 2.10
Nitish Mishra
2 solving equations nat-e
2 solving equations nat-e
math260
Math-tanong CEER 2012 - Set 1 solutions
Math-tanong CEER 2012 - Set 1 solutions
Gilbert Joseph Abueg
Math-tanong CEER 2012 - Set 1 Solutions
Math-tanong CEER 2012 - Set 1 Solutions
Gilbert Joseph Abueg
Logic Design - Chapter 1: Number Systems and Codes
Logic Design - Chapter 1: Number Systems and Codes
Gouda Mando
Taller de Geometria
Taller de Geometria
Suly Vitonas
Management Aptitude Test 17 Nov
Management Aptitude Test 17 Nov
Dr. Trilok Kumar Jain
Quicker maths
Quicker maths
Ravi Bansal
Recomendados
L 2.10
L 2.10
Nitish Mishra
2 solving equations nat-e
2 solving equations nat-e
math260
Math-tanong CEER 2012 - Set 1 solutions
Math-tanong CEER 2012 - Set 1 solutions
Gilbert Joseph Abueg
Math-tanong CEER 2012 - Set 1 Solutions
Math-tanong CEER 2012 - Set 1 Solutions
Gilbert Joseph Abueg
Logic Design - Chapter 1: Number Systems and Codes
Logic Design - Chapter 1: Number Systems and Codes
Gouda Mando
Taller de Geometria
Taller de Geometria
Suly Vitonas
Management Aptitude Test 17 Nov
Management Aptitude Test 17 Nov
Dr. Trilok Kumar Jain
Quicker maths
Quicker maths
Ravi Bansal
Strategic Maths
Strategic Maths
Alice-Smith School
Lesson 1.1 multiplication
Lesson 1.1 multiplication
A V Prakasam
Cuadernillo de Matemática 6 EGB JICA
Cuadernillo de Matemática 6 EGB JICA
PalAlbn
Integrated 2 Section 6-7
Integrated 2 Section 6-7
Jimbo Lamb
Numerical reasoning I
Numerical reasoning I
Prasanth Kumar RAGUPATHY
Ppt for lesson on equations tws
Ppt for lesson on equations tws
triciaslide23
Numeric entry
Numeric entry
Rejan Chitrakar
Rmo 2010
Rmo 2010
Explore Brain
Math Gr4 Ch8
Math Gr4 Ch8
madterrell
01.Number Systems
01.Number Systems
Amit Chandra
Multiplying 2 numbers starting with same digit
Multiplying 2 numbers starting with same digit
PuworkUtara OnSlideshare
Chapter 012 digestive
Chapter 012 digestive
AdZRyfAh eFFa
Cec
Cec
Iaen del Estado
E learning in medical education and blended learning approach
E learning in medical education and blended learning approach
Hewlett-Packard Singapore
Fundamentals of Data Structures in C++ - Ellis Horowitz, Sartaj Sahni
Fundamentals of Data Structures in C++ - Ellis Horowitz, Sartaj Sahni
Munawar Ahmed
Brock biology-of-microorganisms-(13th-edition)
Brock biology-of-microorganisms-(13th-edition)
Shahab Pour
Lec 19 20 Lab Animal Hamsters Gerbils Ferrets Chinchillas Hedgehogs Sugar Gl...
Lec 19 20 Lab Animal Hamsters Gerbils Ferrets Chinchillas Hedgehogs Sugar Gl...
DrAlana
Edexcel as chemistry tag 2nd ed (Book answers and teachers guide)
Edexcel as chemistry tag 2nd ed (Book answers and teachers guide)
Samith Senadeera
C++ Problem solving
C++ Problem solving
Jonathan Brylle Cardinal
Marketing data
Marketing data
TEMPLA73
Cengel cimbala solutions_chap01
Cengel cimbala solutions_chap01
luisbello67
mba10_ppt_0204 (1).ppt
mba10_ppt_0204 (1).ppt
elyse43
Más contenido relacionado
La actualidad más candente
Strategic Maths
Strategic Maths
Alice-Smith School
Lesson 1.1 multiplication
Lesson 1.1 multiplication
A V Prakasam
Cuadernillo de Matemática 6 EGB JICA
Cuadernillo de Matemática 6 EGB JICA
PalAlbn
Integrated 2 Section 6-7
Integrated 2 Section 6-7
Jimbo Lamb
Numerical reasoning I
Numerical reasoning I
Prasanth Kumar RAGUPATHY
Ppt for lesson on equations tws
Ppt for lesson on equations tws
triciaslide23
Numeric entry
Numeric entry
Rejan Chitrakar
Rmo 2010
Rmo 2010
Explore Brain
Math Gr4 Ch8
Math Gr4 Ch8
madterrell
01.Number Systems
01.Number Systems
Amit Chandra
Multiplying 2 numbers starting with same digit
Multiplying 2 numbers starting with same digit
PuworkUtara OnSlideshare
La actualidad más candente
(11)
Strategic Maths
Strategic Maths
Lesson 1.1 multiplication
Lesson 1.1 multiplication
Cuadernillo de Matemática 6 EGB JICA
Cuadernillo de Matemática 6 EGB JICA
Integrated 2 Section 6-7
Integrated 2 Section 6-7
Numerical reasoning I
Numerical reasoning I
Ppt for lesson on equations tws
Ppt for lesson on equations tws
Numeric entry
Numeric entry
Rmo 2010
Rmo 2010
Math Gr4 Ch8
Math Gr4 Ch8
01.Number Systems
01.Number Systems
Multiplying 2 numbers starting with same digit
Multiplying 2 numbers starting with same digit
Destacado
Chapter 012 digestive
Chapter 012 digestive
AdZRyfAh eFFa
Cec
Cec
Iaen del Estado
E learning in medical education and blended learning approach
E learning in medical education and blended learning approach
Hewlett-Packard Singapore
Fundamentals of Data Structures in C++ - Ellis Horowitz, Sartaj Sahni
Fundamentals of Data Structures in C++ - Ellis Horowitz, Sartaj Sahni
Munawar Ahmed
Brock biology-of-microorganisms-(13th-edition)
Brock biology-of-microorganisms-(13th-edition)
Shahab Pour
Lec 19 20 Lab Animal Hamsters Gerbils Ferrets Chinchillas Hedgehogs Sugar Gl...
Lec 19 20 Lab Animal Hamsters Gerbils Ferrets Chinchillas Hedgehogs Sugar Gl...
DrAlana
Edexcel as chemistry tag 2nd ed (Book answers and teachers guide)
Edexcel as chemistry tag 2nd ed (Book answers and teachers guide)
Samith Senadeera
C++ Problem solving
C++ Problem solving
Jonathan Brylle Cardinal
Marketing data
Marketing data
TEMPLA73
Cengel cimbala solutions_chap01
Cengel cimbala solutions_chap01
luisbello67
Destacado
(10)
Chapter 012 digestive
Chapter 012 digestive
Cec
Cec
E learning in medical education and blended learning approach
E learning in medical education and blended learning approach
Fundamentals of Data Structures in C++ - Ellis Horowitz, Sartaj Sahni
Fundamentals of Data Structures in C++ - Ellis Horowitz, Sartaj Sahni
Brock biology-of-microorganisms-(13th-edition)
Brock biology-of-microorganisms-(13th-edition)
Lec 19 20 Lab Animal Hamsters Gerbils Ferrets Chinchillas Hedgehogs Sugar Gl...
Lec 19 20 Lab Animal Hamsters Gerbils Ferrets Chinchillas Hedgehogs Sugar Gl...
Edexcel as chemistry tag 2nd ed (Book answers and teachers guide)
Edexcel as chemistry tag 2nd ed (Book answers and teachers guide)
C++ Problem solving
C++ Problem solving
Marketing data
Marketing data
Cengel cimbala solutions_chap01
Cengel cimbala solutions_chap01
Similar a 8.6+applications+and+problem+solving
mba10_ppt_0204 (1).ppt
mba10_ppt_0204 (1).ppt
elyse43
Linear equations
Linear equations
hireshgupta1997
binomial_theorem_notes.ppt
binomial_theorem_notes.ppt
LokeshBabuDV
Advance algebra
Advance algebra
lyra matalubos
Notes 5-7
Notes 5-7
Jimbo Lamb
Linear Equations
Linear Equations
Jessica Price
guid
guid
Lex Lee
Lesson 1: Systems of Linear Equations (slides)
Lesson 1: Systems of Linear Equations (slides)
Matthew Leingang
Basic Math
Basic Math
Ronaldo Ongotan
1.02e
1.02e
kboynton
Project in math BY:Samuel Vasquez Balia
Project in math BY:Samuel Vasquez Balia
samuel balia
Project in math
Project in math
samuel balia
Linear Equation Word Problem Complete.ppt
Linear Equation Word Problem Complete.ppt
Jeneferburdas
quadraticequations-111211090004-phpapp02.pptx
quadraticequations-111211090004-phpapp02.pptx
anithanatarajan15
Solving equations one & two step
Solving equations one & two step
chrystal_brinson
linearequationwordproblemcomplete-221011011319-0a1977b0.pptx
linearequationwordproblemcomplete-221011011319-0a1977b0.pptx
drshakeel2013
6.3 solving by factoring
6.3 solving by factoring
hisema01
LINEAR PROGRAMING
LINEAR PROGRAMING
shahzadebaujiti
Translating Expressions
Translating Expressions
Yelena Melnichenko
Properties of Addition & Multiplication
Properties of Addition & Multiplication
itutor
Similar a 8.6+applications+and+problem+solving
(20)
mba10_ppt_0204 (1).ppt
mba10_ppt_0204 (1).ppt
Linear equations
Linear equations
binomial_theorem_notes.ppt
binomial_theorem_notes.ppt
Advance algebra
Advance algebra
Notes 5-7
Notes 5-7
Linear Equations
Linear Equations
guid
guid
Lesson 1: Systems of Linear Equations (slides)
Lesson 1: Systems of Linear Equations (slides)
Basic Math
Basic Math
1.02e
1.02e
Project in math BY:Samuel Vasquez Balia
Project in math BY:Samuel Vasquez Balia
Project in math
Project in math
Linear Equation Word Problem Complete.ppt
Linear Equation Word Problem Complete.ppt
quadraticequations-111211090004-phpapp02.pptx
quadraticequations-111211090004-phpapp02.pptx
Solving equations one & two step
Solving equations one & two step
linearequationwordproblemcomplete-221011011319-0a1977b0.pptx
linearequationwordproblemcomplete-221011011319-0a1977b0.pptx
6.3 solving by factoring
6.3 solving by factoring
LINEAR PROGRAMING
LINEAR PROGRAMING
Translating Expressions
Translating Expressions
Properties of Addition & Multiplication
Properties of Addition & Multiplication
8.6+applications+and+problem+solving
1.
Copyright © 2008
Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 1
2.
Solving Equations and
8 Inequalities 8.1 Solving Equations: The Addition Principle 8.2 Solving Equations: The Multiplication Principle 8.3 Using the Principles Together 8.4 Formulas 8.5 Applications of Percent 8.6 Applications and Problem Solving 8.7 Solving Inequalities 8.8 Applications and Problem Solving with Inequalities Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
3.
8.6
APPLICATIONS AND PROBLEM SOLVING a Solve applied problems by translating to equations. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
4.
Objective
a Solve applied problems by translating to equations. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 4
5.
Five Steps for
Problem Solving in Algebra 1. Familiarize yourself with the problem situation. 2. Translate the problem to an equation. 3. Solve the equation. 4. Check the answer in the original problem. 5. State the answer to the problem clearly. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 5
6.
To Familiarize Yourself
with a Problem (continued) ♦ Find more information. Look up formulas or definition if you are not familiar. Consult a reference librarian or an expert in the field. ♦ Create a table that lists all the information you have available. Look for patterns that may help in the translation to an equation. ♦ Think of a possible answer and check the guess. Note the manner in which the guess is checked. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 7
7.
Example A A 480-in.
piece of pipe is cut into two pieces. One piece is three times the length of the other. Find the length of each piece of pipe. Solution 1. Familiarize. Make a drawing. Noting the lengths. 480 in 3x x Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 8
8.
2. Translate. From
the statement of the problem, we know that one piece is three times the length of the other and the total is 480 inches. x + 3x = 480 3. Solve. x + 3x = 480 4x = 480 4 4 x = 120 inches 4. Check. Do we have an answer to the problem? No, we need the lengths of both pieces of pipe. If x = 120 the length of one piece 3x = the length of the other piece. 3(120) = 360 inches Since 120 + 360 = 480 our answer checks. 5. State. One section of pipe is 120 inches and the other section is 360 inches. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 9
9.
2. Translate.
Shipping plus photo cost is $22 Rewording: ↓ ↓ ↓ ↓ ↓ Translating: $3.29 + 0.12( x) = 22 3. Carry out. 3.29 + 0.12 x = 22 0.12 x = 18.71 x = 155.9 = 155 4. Check. Check in the original problem. $3.29 + 155(0.12) = $21.89, which is less than $22.00. 5. State. The yearbook staff can have 155 photos printed per week. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 11
10.
Consecutive integers: 16,
17, 18, 19, 20; and so on x, x + 1, x + 2; and so on. Consecutive even integers: 16, 18, 20, 22, and so on x, x + 2, x + 4, and so on. Consecutive odd integers: 21, 23, 25, 27, 29, and so on x, x + 2, x + 4, and so on. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 12
11.
Example C The apartments
in Wanda’s apartment house are consecutively numbered on each floor. The sum of her number and her next door neighbor’s number is 723. What are the two numbers? Solution 1. Familarize. The apartment numbers are consecutive integers. Let x = Wanda’s apartment Let x + 1 = neighbor’s apartment Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 13
12.
2. Translate.
Rewording:First integer plus second integer is 723 ↓ ↓ ↓ ↓ ↓ Translating: x + ( x + 1) = 723 3. Carry out. x + (x + 1) = 723 2x + 1 = 723 2x = 722 x = 361 If x is 361, then x + 1 is 362. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 14
13.
4. Check. Our
possible answers are 361 and 362. These are consecutive integers and the sum is 723. 5. State. The apartment numbers are 361 and 362. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 15
14.
Example D You are
constructing a triangular kite. The second angle of the kite is three times as large as the first. The third angle is 10 degrees more than the first. Find the measure of each angle. Solution x + 10 1. Familiarize. Make a drawing and 3x write in the given information. x 2. Translate. To translate, we need to recall that the sum of the measures of the angles in a triangle is 180 degrees. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 16
15.
2. Translate (continued).
Measure of measure of measure of first angle + second angle + third angle is 180o ↓ ↓ ↓ ↓ ↓ ↓ ↓ x + 3x + ( x + 10 ) = 180 3. Carry out. x + 3 x + ( x + 10 ) = 180 5 x + 10 = 180 5 x = 170 x = 34 The measures for the angles appear to be: first angle: x = 34 second angle: 3x = 3(34) = 102; third angle: x + 10 = 34 + 10 = 44 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 17
16.
4. Check. Consider
34, 102 and 44 degrees. The sum of these numbers is 180 degrees and the second angle is three times the first angle. The third angle is 10 degrees more than the first. These numbers check. 5. State. The measures of the angles are 34, 44 and 102 degrees. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 18
17.
Example E The Hickson’s
are planning to sell their home. If they want to be left with $142,000 after paying 6% of the selling price to a realtor as a commission, for how much must they sell the house? Familiarize. Suppose the Hickson’s sell the house for $150,000. A 6% commission can be determined by finding 6% of 150,000. 6% of 150,000 = 0.06(150,000) = 9000. Subtracting this commission from $150,000 would leave the Hickson’s with 150,000 – 9,000 = 141,000. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 19
18.
Translate. Reword the
problem and translate. Selling price less Commission is Amount remaining x − 0.06x = 142,000 Solve. x − 0.06x = 142,000 1x – 0.06x = 142,000 0.94x = 142,000 0.94 0.94 x = 151,063.83 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 20
19.
Check. Find 6%
of 151,063.83: 6% of 151,063.83 = (0.06)(151,063.83) = 9063.83 Subtract the commission to find the remaining amount. 151,063.83 – 9063.83 = 142,000. State. To be left with $142,000 the Hickson’s must sell the house for $151,063.83. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 21
Descargar ahora