High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Question
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Chapter 11.4, Problem 2P

(a)

To determine

Add or subtract 2z+3−7z+3

(a)

Expert Solution
Check Mark

Answer to Problem 2P

The solution of the given equation is −5z+3

Explanation of Solution

Given:

Given equation

  2z+3−7z+3

Concept Used:

  • Least Common Denominator (LCD) is the smallest number that is divisible by the denominator of all the fractions that are being added or subtracted.
  • Solving an equation containing rational expressions
  • Multiply both sides of equations by LCD(least common denominator) of all denominators.
  • Remove any grouping symbols and solve the resulting equation for the variable asked in equation

Calculation:

In order to solve the equation 2z+3−7z+3 , observe that the LCD of all the denominators is z+3 . So simplify further as shown below

  2z+3−7z+3=2−7z+3=−5z+3

Thus, the solution of the given equation is −5z+3

(b)

To determine

Add or subtract 9n−310n−4−3n+510n−4

(b)

Expert Solution
Check Mark

Answer to Problem 2P

The solution of the given equation is 6n−810n−4

Explanation of Solution

Given:

Given equation

  9n−310n−4−3n+510n−4

Concept Used:

  • Least Common Denominator (LCD) is the smallest number that is divisible by the denominator of all the fractions that are being added or subtracted.
  • Solving an equation containing rational expressions
  • Multiply both sides of equations by LCD(least common denominator) of all denominators.
  • Remove any grouping symbols and solve the resulting equation for the variable asked in equation

Calculation:

In order to solve the equation 9n−310n−4−3n+510n−4 , observe that the LCD of all the denominators is 10n−4 . So simplify further as shown below

  9n−310n−4−3n+510n−4=9n−3−(3n+5)10n−4=9n−3−3n−510n−4=6n−810n−4

Thus, the solution of the given equation is

  6n−810n−4

(c)

To determine

Add or subtract 7q−3q2−4−6q−5q2−4

(c)

Expert Solution
Check Mark

Answer to Problem 2P

The solution of the given equation is 3−bb−3

Explanation of Solution

Given:

Given equation

  7q−3q2−4−6q−5q2−4

Concept Used:

  • Least Common Denominator (LCD) is the smallest number that is divisible by the denominator of all the fractions that are being added or subtracted.
  • Solving an equation containing rational expressions
  • Multiply both sides of equations by LCD(least common denominator) of all denominators.
  • Remove any grouping symbols and solve the resulting equation for the variable asked in equation

Calculation:

In order to solve the equation 7q−3q2−4−6q−5q2−4 , observe that the LCD of all the denominators is q2−4 . So simplify further as shown below

  7q−3q2−4−6q−5q2−4=7q−3−(6q−5)q2−4=7q−3−6q+5q2−4=q+2q2−4

Thus, the solution of the given equation is q+2q2−4

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Chapter 11.4, Problem 1P
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Chapter 11.4, Problem 3P

Chapter 11 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 11.1 - Prob. 1PCh. 11.1 - Prob. 2PCh. 11.1 - Prob. 3PCh. 11.1 - Prob. 4PCh. 11.1 - Prob. 1LCCh. 11.1 - Prob. 2LCCh. 11.1 - Prob. 3LCCh. 11.1 - Prob. 4LCCh. 11.1 - Prob. 5LCCh. 11.1 - Prob. 6LC
Ch. 11.1 - Prob. 7LCCh. 11.1 - Prob. 8PPECh. 11.1 - Prob. 9PPECh. 11.1 - Prob. 10PPECh. 11.1 - Prob. 11PPECh. 11.1 - Prob. 12PPECh. 11.1 - Prob. 13PPECh. 11.1 - Prob. 14PPECh. 11.1 - Prob. 15PPECh. 11.1 - Prob. 16PPECh. 11.1 - Prob. 17PPECh. 11.1 - Prob. 18PPECh. 11.1 - Prob. 19PPECh. 11.1 - Prob. 20PPECh. 11.1 - Prob. 21PPECh. 11.1 - Prob. 22PPECh. 11.1 - Prob. 23PPECh. 11.1 - Prob. 24PPECh. 11.1 - Prob. 25PPECh. 11.1 - Prob. 26PPECh. 11.1 - Prob. 27PPECh. 11.1 - Prob. 28PPECh. 11.1 - Prob. 29PPECh. 11.1 - Prob. 30PPECh. 11.1 - Prob. 31PPECh. 11.1 - Prob. 32PPECh. 11.1 - Prob. 33PPECh. 11.1 - Prob. 34PPECh. 11.1 - Prob. 35PPECh. 11.1 - Prob. 36PPECh. 11.1 - Prob. 37PPECh. 11.1 - Prob. 38PPECh. 11.1 - Prob. 39PPECh. 11.1 - Prob. 40PPECh. 11.1 - Prob. 41PPECh. 11.1 - Prob. 42PPECh. 11.1 - Prob. 43PPECh. 11.1 - Prob. 44PPECh. 11.1 - Prob. 45PPECh. 11.1 - Prob. 46PPECh. 11.1 - Prob. 47PPECh. 11.1 - Prob. 48PPECh. 11.1 - Prob. 49PPECh. 11.1 - Prob. 50PPECh. 11.1 - Prob. 51PPECh. 11.1 - Prob. 52PPECh. 11.1 - Prob. 53PPECh. 11.1 - Prob. 1MPCh. 11.2 - Prob. 1PCh. 11.2 - Prob. 2PCh. 11.2 - Prob. 3PCh. 11.2 - Prob. 4PCh. 11.2 - Prob. 5PCh. 11.2 - Prob. 6PCh. 11.2 - Prob. 1LCCh. 11.2 - Prob. 2LCCh. 11.2 - Prob. 3LCCh. 11.2 - Prob. 4LCCh. 11.2 - Prob. 5LCCh. 11.2 - Prob. 6LCCh. 11.2 - Prob. 7LCCh. 11.2 - Prob. 8LCCh. 11.2 - Prob. 9LCCh. 11.2 - Prob. 10LCCh. 11.2 - Prob. 11PPECh. 11.2 - Prob. 12PPECh. 11.2 - Prob. 13PPECh. 11.2 - Prob. 14PPECh. 11.2 - Prob. 15PPECh. 11.2 - Prob. 16PPECh. 11.2 - Prob. 17PPECh. 11.2 - Prob. 18PPECh. 11.2 - Prob. 19PPECh. 11.2 - Prob. 20PPECh. 11.2 - Prob. 21PPECh. 11.2 - Prob. 22PPECh. 11.2 - Prob. 23PPECh. 11.2 - Prob. 24PPECh. 11.2 - Prob. 25PPECh. 11.2 - Prob. 26PPECh. 11.2 - Prob. 27PPECh. 11.2 - Prob. 28PPECh. 11.2 - Prob. 29PPECh. 11.2 - Prob. 30PPECh. 11.2 - Prob. 31PPECh. 11.2 - Prob. 32PPECh. 11.2 - Prob. 33PPECh. 11.2 - Prob. 34PPECh. 11.2 - Prob. 35PPECh. 11.2 - Prob. 36PPECh. 11.2 - Prob. 37PPECh. 11.2 - Prob. 38PPECh. 11.2 - Prob. 39PPECh. 11.2 - Prob. 40PPECh. 11.2 - Prob. 41PPECh. 11.2 - Prob. 42PPECh. 11.2 - Prob. 43PPECh. 11.2 - Prob. 44PPECh. 11.2 - Prob. 45PPECh. 11.2 - Prob. 46PPECh. 11.2 - Prob. 47PPECh. 11.2 - Prob. 48PPECh. 11.2 - Prob. 49PPECh. 11.2 - Prob. 50PPECh. 11.2 - Prob. 51PPECh. 11.2 - Prob. 52PPECh. 11.2 - Prob. 53PPECh. 11.2 - Prob. 54PPECh. 11.2 - Prob. 55PPECh. 11.2 - Prob. 56PPECh. 11.2 - Prob. 57PPECh. 11.2 - Prob. 58PPECh. 11.2 - Prob. 59PPECh. 11.2 - Prob. 60PPECh. 11.2 - Prob. 61PPECh. 11.2 - Prob. 62PPECh. 11.2 - Prob. 63PPECh. 11.2 - Prob. 64PPECh. 11.2 - Prob. 65PPECh. 11.2 - Prob. 66PPECh. 11.2 - Prob. 67PPECh. 11.2 - Prob. 68PPECh. 11.2 - Prob. 69PPECh. 11.2 - Prob. 70STPCh. 11.2 - Prob. 71STPCh. 11.2 - Prob. 72STPCh. 11.2 - Prob. 73STPCh. 11.2 - Prob. 74MRCh. 11.2 - Prob. 75MRCh. 11.2 - Prob. 76MRCh. 11.2 - Prob. 77MRCh. 11.2 - Prob. 78MRCh. 11.2 - Prob. 79MRCh. 11.3 - Prob. 1CBCh. 11.3 - Prob. 2CBCh. 11.3 - Prob. 3CBCh. 11.3 - Prob. 4CBCh. 11.3 - Prob. 5CBCh. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 1LCCh. 11.3 - Prob. 2LCCh. 11.3 - Prob. 3LCCh. 11.3 - Prob. 4LCCh. 11.3 - Prob. 5LCCh. 11.3 - Prob. 6LCCh. 11.3 - Prob. 7LCCh. 11.3 - Prob. 8PPECh. 11.3 - Prob. 9PPECh. 11.3 - Prob. 10PPECh. 11.3 - Prob. 11PPECh. 11.3 - Prob. 12PPECh. 11.3 - Prob. 13PPECh. 11.3 - Prob. 14PPECh. 11.3 - Prob. 15PPECh. 11.3 - Prob. 16PPECh. 11.3 - Prob. 17PPECh. 11.3 - Prob. 18PPECh. 11.3 - Prob. 19PPECh. 11.3 - Prob. 20PPECh. 11.3 - Prob. 21PPECh. 11.3 - Prob. 22PPECh. 11.3 - Prob. 23PPECh. 11.3 - Prob. 24PPECh. 11.3 - Prob. 25PPECh. 11.3 - Prob. 26PPECh. 11.3 - Prob. 27PPECh. 11.3 - Prob. 28PPECh. 11.3 - Prob. 29PPECh. 11.3 - Prob. 30PPECh. 11.3 - Prob. 31PPECh. 11.3 - Prob. 32PPECh. 11.3 - Prob. 33PPECh. 11.3 - Prob. 34PPECh. 11.3 - Prob. 35PPECh. 11.3 - Prob. 36PPECh. 11.3 - Prob. 37PPECh. 11.3 - Prob. 38PPECh. 11.3 - Prob. 39PPECh. 11.3 - Prob. 40PPECh. 11.3 - Prob. 41PPECh. 11.3 - Prob. 42PPECh. 11.3 - Prob. 43PPECh. 11.3 - Prob. 44PPECh. 11.3 - Prob. 45PPECh. 11.3 - Prob. 46PPECh. 11.3 - Prob. 47PPECh. 11.3 - Prob. 48PPECh. 11.3 - Prob. 49PPECh. 11.3 - Prob. 50PPECh. 11.3 - Prob. 51PPECh. 11.3 - Prob. 52PPECh. 11.3 - Prob. 53PPECh. 11.3 - Prob. 54PPECh. 11.3 - Prob. 55PPECh. 11.3 - Prob. 56PPECh. 11.3 - Prob. 57PPECh. 11.3 - Prob. 58PPECh. 11.3 - Prob. 59PPECh. 11.3 - Prob. 60STPCh. 11.3 - Prob. 61STPCh. 11.3 - Prob. 62STPCh. 11.3 - Prob. 63STPCh. 11.3 - Prob. 64MRCh. 11.3 - Prob. 65MRCh. 11.3 - Prob. 66MRCh. 11.3 - Prob. 67MRCh. 11.3 - Prob. 68MRCh. 11.3 - Prob. 69MRCh. 11.3 - Prob. 70MRCh. 11.3 - Prob. 71MRCh. 11.4 - Prob. 1PCh. 11.4 - Prob. 2PCh. 11.4 - Prob. 3PCh. 11.4 - Prob. 4PCh. 11.4 - Prob. 5PCh. 11.4 - Prob. 1LCCh. 11.4 - Prob. 2LCCh. 11.4 - Prob. 3LCCh. 11.4 - Prob. 4LCCh. 11.4 - Prob. 5LCCh. 11.4 - Prob. 6LCCh. 11.4 - Prob. 7LCCh. 11.4 - Prob. 8PPECh. 11.4 - Prob. 9PPECh. 11.4 - Prob. 10PPECh. 11.4 - Prob. 11PPECh. 11.4 - Prob. 12PPECh. 11.4 - Prob. 13PPECh. 11.4 - Prob. 14PPECh. 11.4 - Prob. 15PPECh. 11.4 - Prob. 16PPECh. 11.4 - Prob. 17PPECh. 11.4 - Prob. 18PPECh. 11.4 - Prob. 19PPECh. 11.4 - Prob. 20PPECh. 11.4 - Prob. 21PPECh. 11.4 - Prob. 22PPECh. 11.4 - Prob. 23PPECh. 11.4 - Prob. 24PPECh. 11.4 - Prob. 25PPECh. 11.4 - Prob. 26PPECh. 11.4 - Prob. 27PPECh. 11.4 - Prob. 28PPECh. 11.4 - Prob. 29PPECh. 11.4 - Prob. 30PPECh. 11.4 - Prob. 31PPECh. 11.4 - Prob. 32PPECh. 11.4 - Prob. 33PPECh. 11.4 - Prob. 34PPECh. 11.4 - Prob. 35PPECh. 11.4 - Prob. 36PPECh. 11.4 - Prob. 37PPECh. 11.4 - Prob. 38PPECh. 11.4 - Prob. 39PPECh. 11.4 - Prob. 40PPECh. 11.4 - Prob. 41PPECh. 11.4 - Prob. 42PPECh. 11.4 - Prob. 43PPECh. 11.4 - Prob. 44PPECh. 11.4 - Prob. 45PPECh. 11.4 - Prob. 46PPECh. 11.4 - Prob. 47PPECh. 11.4 - Prob. 48PPECh. 11.4 - Prob. 49PPECh. 11.4 - Prob. 50PPECh. 11.4 - Prob. 51PPECh. 11.4 - Prob. 52PPECh. 11.4 - Prob. 53PPECh. 11.4 - Prob. 54PPECh. 11.4 - Prob. 1MPCh. 11.4 - Prob. 1MCQCh. 11.4 - Prob. 2MCQCh. 11.4 - Prob. 3MCQCh. 11.4 - Prob. 4MCQCh. 11.4 - Prob. 5MCQCh. 11.4 - Prob. 6MCQCh. 11.4 - Prob. 7MCQCh. 11.4 - Prob. 8MCQCh. 11.4 - Prob. 9MCQCh. 11.4 - Prob. 10MCQCh. 11.4 - Prob. 11MCQCh. 11.4 - Prob. 12MCQCh. 11.4 - Prob. 13MCQCh. 11.4 - Prob. 14MCQCh. 11.4 - Prob. 15MCQCh. 11.4 - Prob. 16MCQCh. 11.4 - Prob. 17MCQCh. 11.4 - Prob. 18MCQCh. 11.4 - Prob. 19MCQCh. 11.4 - Prob. 20MCQCh. 11.4 - Prob. 21MCQCh. 11.4 - Prob. 22MCQCh. 11.4 - Prob. 23MCQCh. 11.4 - Prob. 24MCQCh. 11.4 - Prob. 25MCQCh. 11.5 - Prob. 1PCh. 11.5 - Prob. 2PCh. 11.5 - Prob. 3PCh. 11.5 - Prob. 4PCh. 11.5 - Prob. 5PCh. 11.5 - Prob. 1LCCh. 11.5 - Prob. 2LCCh. 11.5 - Prob. 3LCCh. 11.5 - Prob. 4LCCh. 11.5 - Prob. 5LCCh. 11.5 - Prob. 6LCCh. 11.5 - Prob. 7LCCh. 11.5 - Prob. 8PPECh. 11.5 - Prob. 9PPECh. 11.5 - Prob. 10PPECh. 11.5 - Prob. 11PPECh. 11.5 - Prob. 12PPECh. 11.5 - Prob. 13PPECh. 11.5 - Prob. 14PPECh. 11.5 - Prob. 15PPECh. 11.5 - Prob. 16PPECh. 11.5 - Prob. 17PPECh. 11.5 - Prob. 18PPECh. 11.5 - Prob. 19PPECh. 11.5 - Prob. 20PPECh. 11.5 - Prob. 21PPECh. 11.5 - Prob. 22PPECh. 11.5 - Prob. 23PPECh. 11.5 - Prob. 24PPECh. 11.5 - Prob. 25PPECh. 11.5 - Prob. 26PPECh. 11.5 - Prob. 27PPECh. 11.5 - Prob. 28PPECh. 11.5 - Prob. 29PPECh. 11.5 - Prob. 30PPECh. 11.5 - Prob. 31PPECh. 11.5 - Prob. 32PPECh. 11.5 - Prob. 33PPECh. 11.5 - Prob. 34PPECh. 11.5 - Prob. 35PPECh. 11.5 - Prob. 36PPECh. 11.5 - Prob. 37PPECh. 11.5 - Prob. 38PPECh. 11.5 - Prob. 39PPECh. 11.5 - Prob. 40PPECh. 11.5 - Prob. 41PPECh. 11.5 - Prob. 42PPECh. 11.5 - Prob. 43PPECh. 11.5 - Prob. 44PPECh. 11.5 - Prob. 45PPECh. 11.5 - Prob. 46PPECh. 11.5 - Prob. 47PPECh. 11.5 - Prob. 48PPECh. 11.5 - Prob. 49PPECh. 11.5 - Prob. 50PPECh. 11.5 - Prob. 51PPECh. 11.5 - Prob. 52STPCh. 11.5 - Prob. 53STPCh. 11.5 - Prob. 54STPCh. 11.5 - Prob. 55STPCh. 11.5 - Prob. 56MRCh. 11.5 - Prob. 57MRCh. 11.5 - Prob. 58MRCh. 11.5 - Prob. 59MRCh. 11.5 - Prob. 60MRCh. 11.5 - Prob. 61MRCh. 11.5 - Prob. 62MRCh. 11.5 - Prob. 63MRCh. 11.5 - Prob. 64MRCh. 11.5 - Prob. 65MRCh. 11.5 - Prob. 66MRCh. 11.6 - Prob. 1PCh. 11.6 - Prob. 2PCh. 11.6 - Prob. 3PCh. 11.6 - Prob. 4PCh. 11.6 - Prob. 5PCh. 11.6 - Prob. 1LCCh. 11.6 - Prob. 2LCCh. 11.6 - Prob. 3LCCh. 11.6 - Prob. 4LCCh. 11.6 - Prob. 5LCCh. 11.6 - Prob. 6LCCh. 11.6 - Prob. 7LCCh. 11.6 - Prob. 8LCCh. 11.6 - Prob. 9PPECh. 11.6 - Prob. 10PPECh. 11.6 - Prob. 11PPECh. 11.6 - Prob. 12PPECh. 11.6 - Prob. 13PPECh. 11.6 - Prob. 14PPECh. 11.6 - Prob. 15PPECh. 11.6 - Prob. 16PPECh. 11.6 - Prob. 17PPECh. 11.6 - Prob. 18PPECh. 11.6 - Prob. 19PPECh. 11.6 - Prob. 20PPECh. 11.6 - Prob. 21PPECh. 11.6 - Prob. 22PPECh. 11.6 - Prob. 23PPECh. 11.6 - Prob. 24PPECh. 11.6 - Prob. 25PPECh. 11.6 - Prob. 26PPECh. 11.6 - Prob. 27PPECh. 11.6 - Prob. 28PPECh. 11.6 - Prob. 29PPECh. 11.6 - Prob. 30PPECh. 11.6 - Prob. 31PPECh. 11.6 - Prob. 32PPECh. 11.6 - Prob. 33PPECh. 11.6 - Prob. 34PPECh. 11.6 - Prob. 35PPECh. 11.6 - Prob. 36PPECh. 11.6 - Prob. 37PPECh. 11.6 - Prob. 38PPECh. 11.6 - Prob. 39PPECh. 11.6 - Prob. 40PPECh. 11.6 - Prob. 41PPECh. 11.6 - Prob. 42PPECh. 11.6 - Prob. 43PPECh. 11.6 - Prob. 44PPECh. 11.6 - Prob. 45PPECh. 11.6 - Prob. 46PPECh. 11.6 - Prob. 47PPECh. 11.6 - Prob. 48PPECh. 11.6 - Prob. 49PPECh. 11.6 - Prob. 50STPCh. 11.6 - Prob. 51STPCh. 11.6 - Prob. 52STPCh. 11.6 - Prob. 53MRCh. 11.6 - Prob. 54MRCh. 11.6 - Prob. 55MRCh. 11.6 - Prob. 56MRCh. 11.6 - Prob. 57MRCh. 11.6 - Prob. 58MRCh. 11.6 - Prob. 59MRCh. 11.7 - Prob. 1PCh. 11.7 - Prob. 2PCh. 11.7 - Prob. 3PCh. 11.7 - Prob. 4PCh. 11.7 - Prob. 1LCCh. 11.7 - Prob. 2LCCh. 11.7 - Prob. 3LCCh. 11.7 - Prob. 4LCCh. 11.7 - Prob. 5LCCh. 11.7 - Prob. 6LCCh. 11.7 - Prob. 7LCCh. 11.7 - Prob. 8PPECh. 11.7 - Prob. 9PPECh. 11.7 - Prob. 10PPECh. 11.7 - Prob. 11PPECh. 11.7 - Prob. 12PPECh. 11.7 - Prob. 13PPECh. 11.7 - Prob. 14PPECh. 11.7 - Prob. 15PPECh. 11.7 - Prob. 16PPECh. 11.7 - Prob. 17PPECh. 11.7 - Prob. 18PPECh. 11.7 - Prob. 19PPECh. 11.7 - Prob. 20PPECh. 11.7 - Prob. 21PPECh. 11.7 - Prob. 22PPECh. 11.7 - Prob. 23PPECh. 11.7 - Prob. 24PPECh. 11.7 - Prob. 25PPECh. 11.7 - Prob. 26PPECh. 11.7 - Prob. 27PPECh. 11.7 - Prob. 28PPECh. 11.7 - Prob. 29PPECh. 11.7 - Prob. 30PPECh. 11.7 - Prob. 31PPECh. 11.7 - Prob. 32PPECh. 11.7 - Prob. 33PPECh. 11.7 - Prob. 34PPECh. 11.7 - Prob. 35PPECh. 11.7 - Prob. 36PPECh. 11.7 - Prob. 37PPECh. 11.7 - Prob. 38PPECh. 11.7 - Prob. 39PPECh. 11.7 - Prob. 40PPECh. 11.7 - Prob. 41PPECh. 11.7 - Prob. 42PPECh. 11.7 - Prob. 43PPECh. 11.7 - Prob. 44PPECh. 11.7 - Prob. 45PPECh. 11.7 - Prob. 46PPECh. 11.7 - Prob. 47PPECh. 11.7 - Prob. 48PPECh. 11.7 - Prob. 49PPECh. 11.7 - Prob. 1MPCh. 11.7 - Prob. 1CBCh. 11.7 - Prob. 2CBCh. 11.7 - Prob. 3CBCh. 11.7 - Prob. 4CBCh. 11.7 - Prob. 5CBCh. 11.7 - Prob. 6CBCh. 11.7 - Prob. 7CBCh. 11.7 - Prob. 8CBCh. 11.7 - Prob. 9CBCh. 11.7 - Prob. 10CBCh. 11 - Prob. 1GRCh. 11 - Prob. 2GRCh. 11 - Prob. 3GRCh. 11 - Prob. 4GRCh. 11 - Prob. 5GRCh. 11 - Prob. 6GRCh. 11 - Prob. 7GRCh. 11 - Prob. 8GRCh. 11 - Prob. 9GRCh. 11 - Prob. 10GRCh. 11 - Prob. 11GRCh. 11 - Prob. 12GRCh. 11 - Prob. 13GRCh. 11 - Prob. 14GRCh. 11 - Prob. 15GRCh. 11 - Prob. 16GRCh. 11 - Prob. 17GRCh. 11 - Prob. 18GRCh. 11 - Prob. 19GRCh. 11 - Prob. 20GRCh. 11 - Prob. 21GRCh. 11 - Prob. 22GRCh. 11 - Prob. 23GRCh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Prob. 15CRCh. 11 - Prob. 16CRCh. 11 - Prob. 17CRCh. 11 - Prob. 18CRCh. 11 - Prob. 19CRCh. 11 - Prob. 20CRCh. 11 - Prob. 21CRCh. 11 - Prob. 22CRCh. 11 - Prob. 23CRCh. 11 - Prob. 24CRCh. 11 - Prob. 25CRCh. 11 - Prob. 26CRCh. 11 - Prob. 27CRCh. 11 - Prob. 28CRCh. 11 - Prob. 29CRCh. 11 - Prob. 30CRCh. 11 - Prob. 31CRCh. 11 - Prob. 32CRCh. 11 - Prob. 33CRCh. 11 - Prob. 34CRCh. 11 - Prob. 35CRCh. 11 - Prob. 36CRCh. 11 - Prob. 37CRCh. 11 - Prob. 38CRCh. 11 - Prob. 39CRCh. 11 - Prob. 40CRCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 17PTCh. 11 - Prob. 18PTCh. 11 - Prob. 19PTCh. 11 - Prob. 20PTCh. 11 - Prob. 21PTCh. 11 - Prob. 22PTCh. 11 - Prob. 23PTCh. 11 - Prob. 24PTCh. 11 - Prob. 25PTCh. 11 - Prob. 1CCSRCh. 11 - Prob. 2CCSRCh. 11 - Prob. 3CCSRCh. 11 - Prob. 4CCSRCh. 11 - Prob. 5CCSRCh. 11 - Prob. 6CCSRCh. 11 - Prob. 7CCSRCh. 11 - Prob. 8CCSRCh. 11 - Prob. 9CCSRCh. 11 - Prob. 10CCSRCh. 11 - Prob. 11CCSRCh. 11 - Prob. 12CCSRCh. 11 - Prob. 13CCSRCh. 11 - Prob. 14CCSRCh. 11 - Prob. 15CCSRCh. 11 - Prob. 16CCSRCh. 11 - Prob. 17CCSRCh. 11 - Prob. 18CCSRCh. 11 - Prob. 19CCSRCh. 11 - Prob. 20CCSRCh. 11 - Prob. 21CCSRCh. 11 - Prob. 22CCSRCh. 11 - Prob. 23CCSRCh. 11 - Prob. 24CCSRCh. 11 - Prob. 25CCSRCh. 11 - Prob. 26CCSRCh. 11 - Prob. 27CCSRCh. 11 - Prob. 28CCSRCh. 11 - Prob. 29CCSRCh. 11 - Prob. 30CCSRCh. 11 - Prob. 31CCSR

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Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY