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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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 5.2, Problem 15PPE
To determine

To calculate:value of y when x=12.

Expert Solution & Answer
Check Mark

Answer to Problem 15PPE

  x=12 , then the value of y is −60 .

Explanation of Solution

Given information:

System equation: y=−10,x=2

The direct variation equation relates to x and y.

  y varies directly with x

Calculation: Finding the equation for direct variance relates to x and y as follows:

An equation is referred to as a direct variation when it in the form of y=kx, where, k≠0 is the constant of variation.

The value of the variance constant is obtained by diving x

  k=yx

Let the direct variation equation be y=kx

The function is y=kx

Substitute 2 for x and −10 for y

  −10=k(2)

  −10=2k

Divide both sides by 2 to solve for k

  −10=2k÷2

  −5=k

Write an equation: y=−5x

Substitute −5 for k in y=kx

The equation y=−5x relates x and y. when y=−10,x=2

  If x=12y=−5x   =−5(12)    =−60

Therefore, the value of y is −60 ,when x=12

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Chapter 5 Solutions

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

Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 1LCCh. 5.1 - Prob. 2LCCh. 5.1 - Prob. 3LCCh. 5.1 - Prob. 4LCCh. 5.1 - Prob. 5LCCh. 5.1 - Prob. 6LC
Ch. 5.1 - Prob. 7LCCh. 5.1 - Prob. 8PPECh. 5.1 - Prob. 9PPECh. 5.1 - Prob. 10PPECh. 5.1 - Prob. 11PPECh. 5.1 - Prob. 12PPECh. 5.1 - Prob. 13PPECh. 5.1 - Prob. 14PPECh. 5.1 - Prob. 15PPECh. 5.1 - Prob. 16PPECh. 5.1 - Prob. 17PPECh. 5.1 - Prob. 18PPECh. 5.1 - Prob. 19PPECh. 5.1 - Prob. 20PPECh. 5.1 - Prob. 21PPECh. 5.1 - Prob. 22PPECh. 5.1 - Prob. 23PPECh. 5.1 - Prob. 24PPECh. 5.1 - Prob. 25PPECh. 5.1 - Prob. 26PPECh. 5.1 - Prob. 27PPECh. 5.1 - Prob. 28PPECh. 5.1 - Prob. 29PPECh. 5.1 - Prob. 30PPECh. 5.1 - Prob. 31PPECh. 5.1 - Prob. 32PPECh. 5.1 - Prob. 33PPECh. 5.1 - Prob. 34PPECh. 5.1 - Prob. 35PPECh. 5.1 - Prob. 36PPECh. 5.1 - Prob. 37PPECh. 5.1 - Prob. 38PPECh. 5.1 - Prob. 39PPECh. 5.1 - Prob. 40PPECh. 5.1 - Prob. 41PPECh. 5.1 - Prob. 42PPECh. 5.1 - Prob. 43PPECh. 5.1 - Prob. 44PPECh. 5.1 - Prob. 45PPECh. 5.1 - Prob. 46PPECh. 5.1 - Prob. 47PPECh. 5.1 - Prob. 48PPECh. 5.1 - Prob. 49PPECh. 5.1 - Prob. 50PPECh. 5.1 - Prob. 51PPECh. 5.1 - Prob. 52PPECh. 5.1 - Prob. 53PPECh. 5.1 - Prob. 54PPECh. 5.1 - Prob. 55PPECh. 5.1 - Prob. 56PPECh. 5.1 - Prob. 57PPECh. 5.1 - Prob. 58PPECh. 5.1 - Prob. 1MPCh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 1LCCh. 5.2 - Prob. 2LCCh. 5.2 - Prob. 3LCCh. 5.2 - Prob. 4LCCh. 5.2 - Prob. 5LCCh. 5.2 - Prob. 6LCCh. 5.2 - Prob. 7LCCh. 5.2 - Prob. 8LCCh. 5.2 - Prob. 9PPECh. 5.2 - Prob. 10PPECh. 5.2 - Prob. 11PPECh. 5.2 - Prob. 12PPECh. 5.2 - Prob. 13PPECh. 5.2 - Prob. 14PPECh. 5.2 - Prob. 15PPECh. 5.2 - Prob. 16PPECh. 5.2 - Prob. 17PPECh. 5.2 - Prob. 18PPECh. 5.2 - Prob. 19PPECh. 5.2 - Prob. 20PPECh. 5.2 - Prob. 21PPECh. 5.2 - Prob. 22PPECh. 5.2 - Prob. 23PPECh. 5.2 - Prob. 24PPECh. 5.2 - Prob. 25PPECh. 5.2 - Prob. 26PPECh. 5.2 - Prob. 27PPECh. 5.2 - Prob. 28PPECh. 5.2 - Prob. 29PPECh. 5.2 - Prob. 30PPECh. 5.2 - Prob. 31PPECh. 5.2 - Prob. 32PPECh. 5.2 - Prob. 33PPECh. 5.2 - Prob. 34PPECh. 5.2 - Prob. 35PPECh. 5.2 - Prob. 36PPECh. 5.2 - Prob. 37PPECh. 5.2 - Prob. 38PPECh. 5.2 - Prob. 39PPECh. 5.2 - Prob. 40PPECh. 5.2 - Prob. 41PPECh. 5.2 - Prob. 42PPECh. 5.2 - Prob. 43PPECh. 5.2 - Prob. 44PPECh. 5.2 - Prob. 45PPECh. 5.2 - Prob. 46PPECh. 5.2 - Prob. 47PPECh. 5.2 - Prob. 48STPCh. 5.2 - Prob. 49STPCh. 5.2 - Prob. 50STPCh. 5.2 - Prob. 51STPCh. 5.2 - Prob. 52MRCh. 5.2 - Prob. 53MRCh. 5.2 - Prob. 54MRCh. 5.2 - Prob. 55MRCh. 5.2 - Prob. 56MRCh. 5.2 - Prob. 57MRCh. 5.2 - Prob. 58MRCh. 5.2 - Prob. 59MRCh. 5.3 - Prob. 1CBCh. 5.3 - Prob. 2CBCh. 5.3 - Prob. 3CBCh. 5.3 - Prob. 4CBCh. 5.3 - Prob. 5CBCh. 5.3 - Prob. 6CBCh. 5.3 - Prob. 7CBCh. 5.3 - Prob. 1PCh. 5.3 - Prob. 2PCh. 5.3 - Prob. 3PCh. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 1LCCh. 5.3 - Prob. 2LCCh. 5.3 - Prob. 3LCCh. 5.3 - Prob. 4LCCh. 5.3 - Prob. 5LCCh. 5.3 - Prob. 6LCCh. 5.3 - Prob. 7PPECh. 5.3 - Prob. 8PPECh. 5.3 - Prob. 9PPECh. 5.3 - Prob. 10PPECh. 5.3 - Prob. 11PPECh. 5.3 - Prob. 12PPECh. 5.3 - Prob. 13PPECh. 5.3 - Prob. 14PPECh. 5.3 - Prob. 15PPECh. 5.3 - Prob. 16PPECh. 5.3 - Prob. 17PPECh. 5.3 - Prob. 18PPECh. 5.3 - Prob. 19PPECh. 5.3 - Prob. 20PPECh. 5.3 - Prob. 21PPECh. 5.3 - Prob. 22PPECh. 5.3 - Prob. 23PPECh. 5.3 - Prob. 24PPECh. 5.3 - Prob. 25PPECh. 5.3 - Prob. 26PPECh. 5.3 - Prob. 27PPECh. 5.3 - Prob. 28PPECh. 5.3 - Prob. 29PPECh. 5.3 - Prob. 30PPECh. 5.3 - Prob. 31PPECh. 5.3 - Prob. 32PPECh. 5.3 - Prob. 33PPECh. 5.3 - Prob. 34PPECh. 5.3 - Prob. 35PPECh. 5.3 - Prob. 36PPECh. 5.3 - Prob. 37PPECh. 5.3 - Prob. 38PPECh. 5.3 - Prob. 39PPECh. 5.3 - Prob. 40PPECh. 5.3 - Prob. 41PPECh. 5.3 - Prob. 42PPECh. 5.3 - Prob. 43PPECh. 5.3 - Prob. 44PPECh. 5.3 - Prob. 45PPECh. 5.3 - Prob. 46PPECh. 5.3 - Prob. 47PPECh. 5.3 - Prob. 48PPECh. 5.3 - Prob. 49PPECh. 5.3 - Prob. 50PPECh. 5.3 - Prob. 51PPECh. 5.3 - Prob. 52PPECh. 5.3 - Prob. 53PPECh. 5.3 - Prob. 54PPECh. 5.3 - Prob. 55PPECh. 5.3 - Prob. 56PPECh. 5.3 - Prob. 57PPECh. 5.3 - Prob. 58PPECh. 5.3 - Prob. 59PPECh. 5.3 - Prob. 60PPECh. 5.3 - Prob. 61PPECh. 5.3 - Prob. 62PPECh. 5.3 - Prob. 63STPCh. 5.3 - Prob. 64STPCh. 5.3 - Prob. 65STPCh. 5.3 - Prob. 66STPCh. 5.3 - Prob. 67STPCh. 5.3 - Prob. 68MRCh. 5.3 - Prob. 69MRCh. 5.3 - Prob. 70MRCh. 5.3 - Prob. 71MRCh. 5.3 - Prob. 72MRCh. 5.3 - Prob. 73MRCh. 5.3 - Prob. 74MRCh. 5.3 - Prob. 75MRCh. 5.3 - Prob. 76MRCh. 5.3 - Prob. 77MRCh. 5.4 - Prob. 1PCh. 5.4 - Prob. 2PCh. 5.4 - Prob. 3PCh. 5.4 - Prob. 4PCh. 5.4 - Prob. 1LCCh. 5.4 - Prob. 2LCCh. 5.4 - Prob. 3LCCh. 5.4 - Prob. 4LCCh. 5.4 - Prob. 5LCCh. 5.4 - Prob. 6LCCh. 5.4 - Prob. 7LCCh. 5.4 - Prob. 8PPECh. 5.4 - Prob. 9PPECh. 5.4 - Prob. 10PPECh. 5.4 - Prob. 11PPECh. 5.4 - Prob. 12PPECh. 5.4 - Prob. 13PPECh. 5.4 - Prob. 14PPECh. 5.4 - Prob. 15PPECh. 5.4 - Prob. 16PPECh. 5.4 - Prob. 17PPECh. 5.4 - Prob. 18PPECh. 5.4 - Prob. 19PPECh. 5.4 - Prob. 20PPECh. 5.4 - Prob. 21PPECh. 5.4 - Prob. 22PPECh. 5.4 - Prob. 23PPECh. 5.4 - Prob. 24PPECh. 5.4 - Prob. 25PPECh. 5.4 - Prob. 26PPECh. 5.4 - Prob. 27PPECh. 5.4 - Prob. 28PPECh. 5.4 - Prob. 29PPECh. 5.4 - Prob. 30PPECh. 5.4 - Prob. 31PPECh. 5.4 - Prob. 32PPECh. 5.4 - Prob. 1MPCh. 5.4 - Prob. 1MCQCh. 5.4 - Prob. 2MCQCh. 5.4 - Prob. 3MCQCh. 5.4 - Prob. 4MCQCh. 5.4 - Prob. 5MCQCh. 5.4 - Prob. 6MCQCh. 5.4 - Prob. 7MCQCh. 5.4 - Prob. 8MCQCh. 5.4 - Prob. 9MCQCh. 5.4 - Prob. 10MCQCh. 5.4 - Prob. 11MCQCh. 5.4 - Prob. 12MCQCh. 5.4 - Prob. 13MCQCh. 5.4 - Prob. 14MCQCh. 5.4 - Prob. 15MCQCh. 5.4 - Prob. 16MCQCh. 5.4 - Prob. 17MCQCh. 5.4 - Prob. 18MCQCh. 5.4 - Prob. 19MCQCh. 5.4 - Prob. 20MCQCh. 5.4 - Prob. 21MCQCh. 5.4 - Prob. 22MCQCh. 5.4 - Prob. 23MCQCh. 5.4 - Prob. 24MCQCh. 5.4 - Prob. 25MCQCh. 5.4 - Prob. 26MCQCh. 5.5 - Prob. 1PCh. 5.5 - Prob. 2PCh. 5.5 - Prob. 3PCh. 5.5 - Prob. 4PCh. 5.5 - Prob. 5PCh. 5.5 - Prob. 1LCCh. 5.5 - Prob. 2LCCh. 5.5 - Prob. 3LCCh. 5.5 - Prob. 4LCCh. 5.5 - Prob. 5LCCh. 5.5 - Prob. 6LCCh. 5.5 - Prob. 7LCCh. 5.5 - Prob. 8PPECh. 5.5 - Prob. 9PPECh. 5.5 - Prob. 10PPECh. 5.5 - Prob. 11PPECh. 5.5 - Prob. 12PPECh. 5.5 - Prob. 13PPECh. 5.5 - Prob. 14PPECh. 5.5 - Prob. 15PPECh. 5.5 - Prob. 16PPECh. 5.5 - Prob. 17PPECh. 5.5 - Prob. 18PPECh. 5.5 - Prob. 19PPECh. 5.5 - Prob. 20PPECh. 5.5 - Prob. 21PPECh. 5.5 - Prob. 22PPECh. 5.5 - Prob. 23PPECh. 5.5 - Prob. 24PPECh. 5.5 - Prob. 25PPECh. 5.5 - Prob. 26PPECh. 5.5 - Prob. 27PPECh. 5.5 - Prob. 28PPECh. 5.5 - Prob. 29PPECh. 5.5 - Prob. 30PPECh. 5.5 - Prob. 31PPECh. 5.5 - Prob. 32PPECh. 5.5 - Prob. 33PPECh. 5.5 - Prob. 34PPECh. 5.5 - Prob. 35PPECh. 5.5 - Prob. 36PPECh. 5.5 - Prob. 37PPECh. 5.5 - Prob. 38PPECh. 5.5 - Prob. 39PPECh. 5.5 - Prob. 40PPECh. 5.5 - Prob. 41PPECh. 5.5 - Prob. 42PPECh. 5.5 - Prob. 43PPECh. 5.5 - Prob. 44PPECh. 5.5 - Prob. 45PPECh. 5.5 - Prob. 46PPECh. 5.5 - Prob. 47PPECh. 5.5 - Prob. 48PPECh. 5.5 - Prob. 49PPECh. 5.5 - Prob. 50PPECh. 5.5 - Prob. 51PPECh. 5.5 - Prob. 52PPECh. 5.5 - Prob. 53PPECh. 5.5 - Prob. 54PPECh. 5.5 - Prob. 55PPECh. 5.5 - Prob. 56PPECh. 5.5 - Prob. 57PPECh. 5.5 - Prob. 58PPECh. 5.5 - Prob. 59PPECh. 5.5 - Prob. 60PPECh. 5.5 - Prob. 61PPECh. 5.5 - Prob. 62PPECh. 5.5 - Prob. 63PPECh. 5.5 - Prob. 64STPCh. 5.5 - Prob. 65STPCh. 5.5 - Prob. 66STPCh. 5.5 - Prob. 67STPCh. 5.5 - Prob. 68STPCh. 5.5 - Prob. 69MRCh. 5.5 - Prob. 70MRCh. 5.5 - Prob. 71MRCh. 5.5 - Prob. 72MRCh. 5.5 - Prob. 73MRCh. 5.5 - Prob. 74MRCh. 5.5 - Prob. 75MRCh. 5.5 - Prob. 76MRCh. 5.5 - Prob. 77MRCh. 5.5 - Prob. 1CBCh. 5.5 - Prob. 2CBCh. 5.5 - Prob. 3CBCh. 5.5 - Prob. 4CBCh. 5.5 - Prob. 5CBCh. 5.5 - Prob. 6CBCh. 5.5 - Prob. 7CBCh. 5.5 - Prob. 8CBCh. 5.5 - Prob. 9CBCh. 5.5 - Prob. 10CBCh. 5.5 - Prob. 11CBCh. 5.5 - Prob. 12CBCh. 5.5 - Prob. 13CBCh. 5.5 - Prob. 14CBCh. 5.5 - Prob. 15CBCh. 5.5 - Prob. 16CBCh. 5.5 - Prob. 17CBCh. 5.5 - Prob. 18CBCh. 5.5 - Prob. 19CBCh. 5.6 - Prob. 1PCh. 5.6 - Prob. 2PCh. 5.6 - Prob. 3PCh. 5.6 - Prob. 4PCh. 5.6 - Prob. 1LCCh. 5.6 - Prob. 2LCCh. 5.6 - Prob. 3LCCh. 5.6 - Prob. 4LCCh. 5.6 - Prob. 5LCCh. 5.6 - Prob. 6LCCh. 5.6 - Prob. 7PPECh. 5.6 - Prob. 8PPECh. 5.6 - Prob. 9PPECh. 5.6 - Prob. 10PPECh. 5.6 - Prob. 11PPECh. 5.6 - Prob. 12PPECh. 5.6 - Prob. 13PPECh. 5.6 - Prob. 14PPECh. 5.6 - Prob. 15PPECh. 5.6 - Prob. 16PPECh. 5.6 - Prob. 17PPECh. 5.6 - Prob. 18PPECh. 5.6 - Prob. 19PPECh. 5.6 - Prob. 20PPECh. 5.6 - Prob. 21PPECh. 5.6 - Prob. 22PPECh. 5.6 - Prob. 23PPECh. 5.6 - Prob. 24PPECh. 5.6 - Prob. 25PPECh. 5.6 - Prob. 26PPECh. 5.6 - Prob. 27PPECh. 5.6 - Prob. 28PPECh. 5.6 - Prob. 29PPECh. 5.6 - Prob. 30PPECh. 5.6 - Prob. 31PPECh. 5.6 - Prob. 32PPECh. 5.6 - Prob. 33PPECh. 5.6 - Prob. 34PPECh. 5.6 - Prob. 35PPECh. 5.6 - Prob. 36PPECh. 5.6 - Prob. 37PPECh. 5.6 - Prob. 38STPCh. 5.6 - Prob. 39STPCh. 5.6 - Prob. 40STPCh. 5.6 - Prob. 41MRCh. 5.6 - Prob. 42MRCh. 5.6 - Prob. 43MRCh. 5.6 - Prob. 44MRCh. 5.6 - Prob. 45MRCh. 5.6 - Prob. 46MRCh. 5.6 - Prob. 47MRCh. 5.7 - Prob. 1PCh. 5.7 - Prob. 2PCh. 5.7 - Prob. 3PCh. 5.7 - Prob. 4PCh. 5.7 - Prob. 1LCCh. 5.7 - Prob. 2LCCh. 5.7 - Prob. 3LCCh. 5.7 - Prob. 4LCCh. 5.7 - Prob. 5LCCh. 5.7 - Prob. 6LCCh. 5.7 - Prob. 7PPECh. 5.7 - Prob. 8PPECh. 5.7 - Prob. 9PPECh. 5.7 - Prob. 10PPECh. 5.7 - Prob. 11PPECh. 5.7 - Prob. 12PPECh. 5.7 - Prob. 13PPECh. 5.7 - Prob. 14PPECh. 5.7 - Prob. 15PPECh. 5.7 - Prob. 16PPECh. 5.7 - Prob. 17PPECh. 5.7 - Prob. 18PPECh. 5.7 - Prob. 19PPECh. 5.7 - Prob. 20PPECh. 5.7 - Prob. 21PPECh. 5.7 - Prob. 22PPECh. 5.7 - Prob. 23STPCh. 5.7 - Prob. 24STPCh. 5.7 - Prob. 25STPCh. 5.7 - Prob. 26STPCh. 5.7 - Prob. 27MRCh. 5.7 - Prob. 28MRCh. 5.7 - Prob. 29MRCh. 5.7 - Prob. 30MRCh. 5.7 - Prob. 31MRCh. 5.7 - Prob. 32MRCh. 5.7 - Prob. 33MRCh. 5.7 - Prob. 5CBCh. 5.7 - Prob. 6CBCh. 5.8 - Prob. 1PCh. 5.8 - Prob. 2PCh. 5.8 - Prob. 3PCh. 5.8 - Prob. 4PCh. 5.8 - Prob. 1LCCh. 5.8 - Prob. 2LCCh. 5.8 - Prob. 3LCCh. 5.8 - Prob. 4LCCh. 5.8 - Prob. 5LCCh. 5.8 - Prob. 6PPECh. 5.8 - Prob. 7PPECh. 5.8 - Prob. 8PPECh. 5.8 - Prob. 9PPECh. 5.8 - Prob. 10PPECh. 5.8 - Prob. 11PPECh. 5.8 - Prob. 12PPECh. 5.8 - Prob. 13PPECh. 5.8 - Prob. 14PPECh. 5.8 - Prob. 15PPECh. 5.8 - Prob. 16PPECh. 5.8 - Prob. 17PPECh. 5.8 - Prob. 18PPECh. 5.8 - Prob. 19PPECh. 5.8 - Prob. 20PPECh. 5.8 - Prob. 21PPECh. 5.8 - Prob. 22PPECh. 5.8 - Prob. 23PPECh. 5.8 - Prob. 24PPECh. 5.8 - Prob. 25PPECh. 5.8 - Prob. 26PPECh. 5.8 - Prob. 27PPECh. 5.8 - Prob. 28PPECh. 5.8 - Prob. 29PPECh. 5.8 - Prob. 30PPECh. 5.8 - Prob. 31PPECh. 5.8 - Prob. 32PPECh. 5.8 - Prob. 33PPECh. 5.8 - Prob. 34PPECh. 5.8 - Prob. 35PPECh. 5.8 - Prob. 36PPECh. 5.8 - Prob. 37PPECh. 5.8 - Prob. 38STPCh. 5.8 - Prob. 39STPCh. 5.8 - Prob. 40STPCh. 5.8 - Prob. 41STPCh. 5.8 - Prob. 42MRCh. 5.8 - Prob. 43MRCh. 5.8 - Prob. 44MRCh. 5.8 - Prob. 45MRCh. 5.8 - Prob. 46MRCh. 5.8 - Prob. 47MRCh. 5.8 - Prob. 1CBCh. 5.8 - Prob. 2CBCh. 5 - Prob. 1GRCh. 5 - Prob. 2GRCh. 5 - Prob. 3GRCh. 5 - Prob. 4GRCh. 5 - Prob. 5GRCh. 5 - Prob. 6GRCh. 5 - Prob. 7GRCh. 5 - Prob. 8GRCh. 5 - Prob. 9GRCh. 5 - Prob. 10GRCh. 5 - Prob. 11GRCh. 5 - Prob. 12GRCh. 5 - Prob. 13GRCh. 5 - Prob. 14GRCh. 5 - Prob. 15GRCh. 5 - Prob. 16GRCh. 5 - Prob. 17GRCh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CRCh. 5 - Prob. 13CRCh. 5 - Prob. 14CRCh. 5 - Prob. 15CRCh. 5 - Prob. 16CRCh. 5 - Prob. 17CRCh. 5 - Prob. 18CRCh. 5 - Prob. 19CRCh. 5 - Prob. 20CRCh. 5 - Prob. 21CRCh. 5 - 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Prob. 15CCSRCh. 5 - Prob. 16CCSRCh. 5 - Prob. 17CCSRCh. 5 - Prob. 18CCSRCh. 5 - Prob. 19CCSRCh. 5 - Prob. 20CCSRCh. 5 - Prob. 21CCSRCh. 5 - Prob. 22CCSRCh. 5 - Prob. 23CCSRCh. 5 - Prob. 24CCSRCh. 5 - Prob. 25CCSRCh. 5 - Prob. 26CCSRCh. 5 - Prob. 27CCSRCh. 5 - Prob. 28CCSRCh. 5 - Prob. 29CCSRCh. 5 - Prob. 30CCSRCh. 5 - Prob. 31CCSRCh. 5 - Prob. 32CCSR

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