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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Question
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Chapter 1.9, Problem 6LC
To determine

Explain why the multiplication and division property of equality can be considered the same property.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given:

The multiplication and division properties of equality

Concept Used:

The multiplication and division properties of equality state that if you multiply or divide both sides of an equation by the same number, then both sides are still equal.

In other words, if a+b=c , then d  ·  (a+b)  =  d·  c

    Property Name of the Property
    a  ·  c  =  b  ·  cMultiplication Property of Equality
    a  ÷  c  =  b  ÷  cDivision Property of Equality

They can consider the same property because when you multiply (or divide) each side by a number. It`s mean you are also divide (multiply) each side by the reciprocal of this number.

In my opinion, I think they are the same, it`s belong to the equation to choose which one is more suitable. However, with High school student, the multiplication property is one of the most commonly property for solving equation.

Calculation:

Multiplication Property of Equality: a  ·  c  =  b  ·  c

Division Property of Equality: a  ÷  c  =  b  ÷  c

The principle of equality means that the information on either side of an equals sign must be worth the same amount. Think of it in terms of weight: if we have five apples on one side of a scale, and two melons on the other side, the scale will be balanced:

Thus, multiplication Property of Equality: a  ·  c  =  b  ·  c and division Property of Equality: a  ÷  c  =  b  ÷  c are equal.

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Chapter 1.9, Problem 5LC
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Chapter 1.9, Problem 7LC

Chapter 1 Solutions

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

Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 1LCCh. 1.1 - Prob. 2LCCh. 1.1 - Prob. 3LCCh. 1.1 - Prob. 4LCCh. 1.1 - Prob. 5LC
Ch. 1.1 - Prob. 6LCCh. 1.1 - Prob. 7LCCh. 1.1 - Prob. 8LCCh. 1.1 - Prob. 9PPECh. 1.1 - Prob. 10PPECh. 1.1 - Prob. 11PPECh. 1.1 - Prob. 12PPECh. 1.1 - Prob. 13PPECh. 1.1 - Prob. 14PPECh. 1.1 - Prob. 15PPECh. 1.1 - Prob. 16PPECh. 1.1 - Prob. 17PPECh. 1.1 - Prob. 18PPECh. 1.1 - Prob. 19PPECh. 1.1 - Prob. 20PPECh. 1.1 - Prob. 21PPECh. 1.1 - Prob. 22PPECh. 1.1 - Prob. 23PPECh. 1.1 - Prob. 24PPECh. 1.1 - Prob. 25PPECh. 1.1 - Prob. 26PPECh. 1.1 - Prob. 27PPECh. 1.1 - Prob. 28PPECh. 1.1 - Prob. 29PPECh. 1.1 - Prob. 30PPECh. 1.1 - Prob. 31PPECh. 1.1 - Prob. 32PPECh. 1.1 - Prob. 33PPECh. 1.1 - Prob. 34PPECh. 1.1 - Prob. 35PPECh. 1.1 - Prob. 36PPECh. 1.1 - Prob. 37PPECh. 1.1 - Prob. 38PPECh. 1.1 - Prob. 39PPECh. 1.1 - Prob. 40PPECh. 1.1 - Prob. 41PPECh. 1.1 - Prob. 1MPCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Prob. 1LCCh. 1.2 - Prob. 2LCCh. 1.2 - Prob. 3LCCh. 1.2 - Prob. 4LCCh. 1.2 - Prob. 5LCCh. 1.2 - Prob. 6LCCh. 1.2 - Prob. 7LCCh. 1.2 - Prob. 8LCCh. 1.2 - Prob. 9PPECh. 1.2 - Prob. 10PPECh. 1.2 - Prob. 11PPECh. 1.2 - Prob. 12PPECh. 1.2 - Prob. 13PPECh. 1.2 - Prob. 14PPECh. 1.2 - Prob. 15PPECh. 1.2 - Prob. 16PPECh. 1.2 - Prob. 17PPECh. 1.2 - Prob. 18PPECh. 1.2 - Prob. 19PPECh. 1.2 - Prob. 20PPECh. 1.2 - Prob. 21PPECh. 1.2 - Prob. 22PPECh. 1.2 - Prob. 23PPECh. 1.2 - Prob. 24PPECh. 1.2 - Prob. 25PPECh. 1.2 - Prob. 26PPECh. 1.2 - Prob. 27PPECh. 1.2 - Prob. 28PPECh. 1.2 - Prob. 29PPECh. 1.2 - Prob. 30PPECh. 1.2 - Prob. 31PPECh. 1.2 - Prob. 32PPECh. 1.2 - Prob. 33PPECh. 1.2 - Prob. 34PPECh. 1.2 - Prob. 35PPECh. 1.2 - Prob. 36PPECh. 1.2 - Prob. 37PPECh. 1.2 - Prob. 38PPECh. 1.2 - Prob. 39PPECh. 1.2 - Prob. 40PPECh. 1.2 - Prob. 41PPECh. 1.2 - Prob. 42PPECh. 1.2 - Prob. 43PPECh. 1.2 - Prob. 44PPECh. 1.2 - Prob. 45PPECh. 1.2 - Prob. 46PPECh. 1.2 - Prob. 47PPECh. 1.2 - Prob. 48PPECh. 1.2 - Prob. 49PPECh. 1.2 - Prob. 50PPECh. 1.2 - Prob. 51PPECh. 1.2 - Prob. 52PPECh. 1.2 - Prob. 53PPECh. 1.2 - Prob. 54PPECh. 1.2 - Prob. 55PPECh. 1.2 - Prob. 56PPECh. 1.2 - Prob. 57PPECh. 1.2 - Prob. 58PPECh. 1.2 - Prob. 59PPECh. 1.2 - Prob. 60PPECh. 1.2 - Prob. 61STPCh. 1.2 - Prob. 62STPCh. 1.2 - Prob. 63STPCh. 1.2 - Prob. 64STPCh. 1.2 - Prob. 65MRCh. 1.2 - Prob. 66MRCh. 1.2 - Prob. 67MRCh. 1.2 - Prob. 68MRCh. 1.2 - Prob. 69MRCh. 1.2 - Prob. 70MRCh. 1.2 - Prob. 71MRCh. 1.2 - Prob. 72MRCh. 1.2 - Prob. 73MRCh. 1.2 - Prob. 74MRCh. 1.2 - Prob. 75MRCh. 1.2 - Prob. 76MRCh. 1.2 - Prob. 77MRCh. 1.2 - Prob. 78MRCh. 1.2 - Prob. 79MRCh. 1.2 - Prob. 80MRCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 1LCCh. 1.3 - Prob. 2LCCh. 1.3 - Prob. 3LCCh. 1.3 - Prob. 4LCCh. 1.3 - Prob. 5LCCh. 1.3 - Prob. 6LCCh. 1.3 - Prob. 7LCCh. 1.3 - Prob. 8LCCh. 1.3 - Prob. 9PPECh. 1.3 - Prob. 10PPECh. 1.3 - Prob. 11PPECh. 1.3 - Prob. 12PPECh. 1.3 - Prob. 13PPECh. 1.3 - Prob. 14PPECh. 1.3 - Prob. 15PPECh. 1.3 - Prob. 16PPECh. 1.3 - Prob. 17PPECh. 1.3 - Prob. 18PPECh. 1.3 - Prob. 19PPECh. 1.3 - Prob. 20PPECh. 1.3 - Prob. 21PPECh. 1.3 - Prob. 22PPECh. 1.3 - Prob. 23PPECh. 1.3 - Prob. 24PPECh. 1.3 - Prob. 25PPECh. 1.3 - Prob. 26PPECh. 1.3 - Prob. 27PPECh. 1.3 - Prob. 28PPECh. 1.3 - Prob. 29PPECh. 1.3 - Prob. 30PPECh. 1.3 - Prob. 31PPECh. 1.3 - Prob. 32PPECh. 1.3 - Prob. 33PPECh. 1.3 - Prob. 34PPECh. 1.3 - Prob. 35PPECh. 1.3 - Prob. 36PPECh. 1.3 - Prob. 37PPECh. 1.3 - Prob. 38PPECh. 1.3 - Prob. 39PPECh. 1.3 - Prob. 40PPECh. 1.3 - Prob. 41PPECh. 1.3 - Prob. 42PPECh. 1.3 - Prob. 43PPECh. 1.3 - Prob. 44PPECh. 1.3 - Prob. 45PPECh. 1.3 - Prob. 46PPECh. 1.3 - Prob. 47PPECh. 1.3 - Prob. 48PPECh. 1.3 - Prob. 49PPECh. 1.3 - Prob. 50PPECh. 1.3 - Prob. 51PPECh. 1.3 - Prob. 52PPECh. 1.3 - Prob. 53PPECh. 1.3 - Prob. 54PPECh. 1.3 - Prob. 55PPECh. 1.3 - Prob. 56PPECh. 1.3 - Prob. 57PPECh. 1.3 - Prob. 58PPECh. 1.3 - Prob. 59PPECh. 1.3 - Prob. 60PPECh. 1.3 - Prob. 61PPECh. 1.3 - Prob. 62PPECh. 1.3 - Prob. 63PPECh. 1.3 - Prob. 64PPECh. 1.3 - Prob. 65PPECh. 1.3 - Prob. 66PPECh. 1.3 - Prob. 67PPECh. 1.3 - Prob. 68PPECh. 1.3 - Prob. 69PPECh. 1.3 - Prob. 70PPECh. 1.3 - Prob. 71PPECh. 1.3 - Prob. 72STPCh. 1.3 - Prob. 73STPCh. 1.3 - Prob. 74STPCh. 1.3 - Prob. 75MRCh. 1.3 - Prob. 76MRCh. 1.3 - Prob. 77MRCh. 1.3 - Prob. 78MRCh. 1.3 - Prob. 79MRCh. 1.3 - Prob. 80MRCh. 1.3 - Prob. 81MRCh. 1.3 - Prob. 82MRCh. 1.3 - Prob. 83MRCh. 1.3 - Prob. 84MRCh. 1.3 - Prob. 85MRCh. 1.4 - Prob. 1PCh. 1.4 - Prob. 2PCh. 1.4 - Prob. 3PCh. 1.4 - Prob. 4PCh. 1.4 - Prob. 1LCCh. 1.4 - Prob. 2LCCh. 1.4 - Prob. 3LCCh. 1.4 - Prob. 4LCCh. 1.4 - Prob. 5LCCh. 1.4 - Prob. 6LCCh. 1.4 - Prob. 7PPECh. 1.4 - Prob. 8PPECh. 1.4 - Prob. 9PPECh. 1.4 - Prob. 10PPECh. 1.4 - Prob. 11PPECh. 1.4 - Prob. 12PPECh. 1.4 - Prob. 13PPECh. 1.4 - Prob. 14PPECh. 1.4 - Prob. 15PPECh. 1.4 - Prob. 16PPECh. 1.4 - Prob. 17PPECh. 1.4 - Prob. 18PPECh. 1.4 - Prob. 19PPECh. 1.4 - Prob. 20PPECh. 1.4 - Prob. 21PPECh. 1.4 - Prob. 22PPECh. 1.4 - Prob. 23PPECh. 1.4 - Prob. 24PPECh. 1.4 - Prob. 25PPECh. 1.4 - Prob. 26PPECh. 1.4 - Prob. 27PPECh. 1.4 - Prob. 28PPECh. 1.4 - Prob. 29PPECh. 1.4 - Prob. 30PPECh. 1.4 - Prob. 31PPECh. 1.4 - Prob. 32PPECh. 1.4 - Prob. 33PPECh. 1.4 - Prob. 34PPECh. 1.4 - Prob. 35PPECh. 1.4 - Prob. 36PPECh. 1.4 - Prob. 37PPECh. 1.4 - Prob. 38PPECh. 1.4 - Prob. 39PPECh. 1.4 - Prob. 40PPECh. 1.4 - Prob. 41PPECh. 1.4 - Prob. 42PPECh. 1.4 - Prob. 43PPECh. 1.4 - Prob. 44PPECh. 1.4 - Prob. 45PPECh. 1.4 - Prob. 46PPECh. 1.4 - Prob. 47PPECh. 1.4 - Prob. 48PPECh. 1.4 - Prob. 49PPECh. 1.4 - Prob. 50PPECh. 1.4 - Prob. 51PPECh. 1.4 - Prob. 52PPECh. 1.4 - Prob. 53PPECh. 1.4 - Prob. 54PPECh. 1.4 - Prob. 55PPECh. 1.4 - Prob. 56PPECh. 1.4 - Prob. 57PPECh. 1.4 - Prob. 58STPCh. 1.4 - Prob. 59STPCh. 1.4 - Prob. 60STPCh. 1.4 - Prob. 61STPCh. 1.4 - Prob. 62RECh. 1.4 - Prob. 63RECh. 1.4 - Prob. 64RECh. 1.4 - Prob. 65RECh. 1.4 - Prob. 66RECh. 1.4 - Prob. 67RECh. 1.4 - Prob. 68RECh. 1.4 - Prob. 1MCQCh. 1.4 - Prob. 2MCQCh. 1.4 - Prob. 3MCQCh. 1.4 - Prob. 4MCQCh. 1.4 - Prob. 5MCQCh. 1.4 - Prob. 6MCQCh. 1.4 - Prob. 7MCQCh. 1.4 - Prob. 8MCQCh. 1.4 - Prob. 9MCQCh. 1.4 - Prob. 10MCQCh. 1.4 - Prob. 11MCQCh. 1.4 - Prob. 12MCQCh. 1.4 - Prob. 13MCQCh. 1.4 - Prob. 14MCQCh. 1.4 - Prob. 15MCQCh. 1.4 - Prob. 16MCQCh. 1.4 - Prob. 17MCQCh. 1.4 - Prob. 18MCQCh. 1.4 - Prob. 19MCQCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 1LCCh. 1.5 - Prob. 2LCCh. 1.5 - Prob. 3LCCh. 1.5 - Prob. 4LCCh. 1.5 - Prob. 5LCCh. 1.5 - Prob. 6LCCh. 1.5 - Prob. 7LCCh. 1.5 - Prob. 8LCCh. 1.5 - Prob. 9LCCh. 1.5 - Prob. 10PPECh. 1.5 - Prob. 11PPECh. 1.5 - Prob. 12PPECh. 1.5 - Prob. 13PPECh. 1.5 - Prob. 14PPECh. 1.5 - Prob. 15PPECh. 1.5 - Prob. 16PPECh. 1.5 - Prob. 17PPECh. 1.5 - Prob. 18PPECh. 1.5 - Prob. 19PPECh. 1.5 - Prob. 20PPECh. 1.5 - Prob. 21PPECh. 1.5 - Prob. 22PPECh. 1.5 - Prob. 23PPECh. 1.5 - Prob. 24PPECh. 1.5 - Prob. 25PPECh. 1.5 - Prob. 26PPECh. 1.5 - Prob. 27PPECh. 1.5 - Prob. 28PPECh. 1.5 - Prob. 29PPECh. 1.5 - Prob. 30PPECh. 1.5 - Prob. 31PPECh. 1.5 - Prob. 32PPECh. 1.5 - Prob. 33PPECh. 1.5 - Prob. 34PPECh. 1.5 - Prob. 35PPECh. 1.5 - Prob. 36PPECh. 1.5 - Prob. 37PPECh. 1.5 - Prob. 38PPECh. 1.5 - Prob. 39PPECh. 1.5 - Prob. 40PPECh. 1.5 - Prob. 41PPECh. 1.5 - Prob. 42PPECh. 1.5 - Prob. 43PPECh. 1.5 - Prob. 44PPECh. 1.5 - Prob. 45PPECh. 1.5 - Prob. 46PPECh. 1.5 - Prob. 47PPECh. 1.5 - Prob. 48PPECh. 1.5 - Prob. 49PPECh. 1.5 - Prob. 50PPECh. 1.5 - Prob. 51PPECh. 1.5 - Prob. 52PPECh. 1.5 - Prob. 53PPECh. 1.5 - Prob. 54PPECh. 1.5 - Prob. 55PPECh. 1.5 - Prob. 56PPECh. 1.5 - Prob. 57PPECh. 1.5 - Prob. 58PPECh. 1.5 - Prob. 59PPECh. 1.5 - Prob. 60PPECh. 1.5 - Prob. 61PPECh. 1.5 - Prob. 62PPECh. 1.5 - Prob. 63PPECh. 1.5 - Prob. 64PPECh. 1.5 - Prob. 65PPECh. 1.5 - Prob. 66PPECh. 1.5 - Prob. 67PPECh. 1.5 - Prob. 68PPECh. 1.5 - Prob. 69PPECh. 1.5 - Prob. 70STPCh. 1.5 - Prob. 71STPCh. 1.5 - Prob. 72STPCh. 1.5 - Prob. 73STPCh. 1.5 - Prob. 74STPCh. 1.5 - Prob. 75MRCh. 1.5 - Prob. 76MRCh. 1.5 - Prob. 77MRCh. 1.5 - Prob. 78MRCh. 1.5 - Prob. 79MRCh. 1.5 - Prob. 80MRCh. 1.5 - Prob. 81MRCh. 1.5 - Prob. 82MRCh. 1.5 - Prob. 83MRCh. 1.5 - Prob. 84MRCh. 1.5 - Prob. 85MRCh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 1LCCh. 1.6 - Prob. 2LCCh. 1.6 - Prob. 3LCCh. 1.6 - Prob. 4LCCh. 1.6 - Prob. 5LCCh. 1.6 - Prob. 6LCCh. 1.6 - Prob. 7LCCh. 1.6 - Prob. 8PPECh. 1.6 - Prob. 9PPECh. 1.6 - Prob. 10PPECh. 1.6 - Prob. 11PPECh. 1.6 - Prob. 12PPECh. 1.6 - Prob. 13PPECh. 1.6 - Prob. 14PPECh. 1.6 - Prob. 15PPECh. 1.6 - Prob. 16PPECh. 1.6 - Prob. 17PPECh. 1.6 - Prob. 18PPECh. 1.6 - Prob. 19PPECh. 1.6 - Prob. 20PPECh. 1.6 - Prob. 21PPECh. 1.6 - Prob. 22PPECh. 1.6 - Prob. 23PPECh. 1.6 - Prob. 24PPECh. 1.6 - Prob. 25PPECh. 1.6 - Prob. 26PPECh. 1.6 - Prob. 27PPECh. 1.6 - Prob. 28PPECh. 1.6 - Prob. 29PPECh. 1.6 - Prob. 30PPECh. 1.6 - Prob. 31PPECh. 1.6 - Prob. 32PPECh. 1.6 - Prob. 33PPECh. 1.6 - Prob. 34PPECh. 1.6 - Prob. 35PPECh. 1.6 - Prob. 36PPECh. 1.6 - Prob. 37PPECh. 1.6 - Prob. 38PPECh. 1.6 - Prob. 39PPECh. 1.6 - Prob. 40PPECh. 1.6 - Prob. 41PPECh. 1.6 - Prob. 42PPECh. 1.6 - Prob. 43PPECh. 1.6 - Prob. 44PPECh. 1.6 - Prob. 45PPECh. 1.6 - Prob. 46PPECh. 1.6 - Prob. 47PPECh. 1.6 - Prob. 48PPECh. 1.6 - Prob. 49PPECh. 1.6 - Prob. 50PPECh. 1.6 - Prob. 51PPECh. 1.6 - Prob. 52PPECh. 1.6 - Prob. 53PPECh. 1.6 - Prob. 54PPECh. 1.6 - Prob. 55PPECh. 1.6 - Prob. 56PPECh. 1.6 - Prob. 57PPECh. 1.6 - Prob. 58PPECh. 1.6 - Prob. 59PPECh. 1.6 - Prob. 60PPECh. 1.6 - Prob. 61PPECh. 1.6 - Prob. 62PPECh. 1.6 - Prob. 63PPECh. 1.6 - Prob. 64PPECh. 1.6 - Prob. 65PPECh. 1.6 - Prob. 66PPECh. 1.6 - Prob. 67PPECh. 1.6 - Prob. 68PPECh. 1.6 - Prob. 69PPECh. 1.6 - Prob. 70STPCh. 1.6 - Prob. 71STPCh. 1.6 - Prob. 72STPCh. 1.6 - Prob. 73MRCh. 1.6 - Prob. 74MRCh. 1.6 - Prob. 75MRCh. 1.6 - Prob. 76MRCh. 1.6 - Prob. 77MRCh. 1.6 - Prob. 78MRCh. 1.6 - Prob. 1CBCh. 1.6 - Prob. 2CBCh. 1.6 - Prob. 3CBCh. 1.6 - Prob. 4CBCh. 1.6 - Prob. 5CBCh. 1.6 - Prob. 6CBCh. 1.6 - Prob. 7CBCh. 1.6 - Prob. 8CBCh. 1.6 - Prob. 9CBCh. 1.6 - Prob. 10CBCh. 1.6 - Prob. 11CBCh. 1.6 - Prob. 12CBCh. 1.6 - Prob. 13CBCh. 1.6 - Prob. 14CBCh. 1.6 - Prob. 15CBCh. 1.6 - Prob. 16CBCh. 1.6 - Prob. 17CBCh. 1.6 - Prob. 18CBCh. 1.7 - Prob. 1PCh. 1.7 - Prob. 2PCh. 1.7 - Prob. 3PCh. 1.7 - Prob. 4PCh. 1.7 - Prob. 5PCh. 1.7 - Prob. 1LCCh. 1.7 - Prob. 2LCCh. 1.7 - Prob. 3LCCh. 1.7 - Prob. 4LCCh. 1.7 - Prob. 5LCCh. 1.7 - Prob. 6LCCh. 1.7 - Prob. 7LCCh. 1.7 - Prob. 8LCCh. 1.7 - Prob. 9PPECh. 1.7 - Prob. 10PPECh. 1.7 - Prob. 11PPECh. 1.7 - Prob. 12PPECh. 1.7 - Prob. 13PPECh. 1.7 - Prob. 14PPECh. 1.7 - Prob. 15PPECh. 1.7 - Prob. 16PPECh. 1.7 - Prob. 17PPECh. 1.7 - Prob. 18PPECh. 1.7 - Prob. 19PPECh. 1.7 - Prob. 20PPECh. 1.7 - Prob. 21PPECh. 1.7 - Prob. 22PPECh. 1.7 - Prob. 23PPECh. 1.7 - Prob. 24PPECh. 1.7 - Prob. 25PPECh. 1.7 - Prob. 26PPECh. 1.7 - Prob. 27PPECh. 1.7 - Prob. 28PPECh. 1.7 - Prob. 29PPECh. 1.7 - Prob. 30PPECh. 1.7 - Prob. 31PPECh. 1.7 - Prob. 32PPECh. 1.7 - Prob. 33PPECh. 1.7 - Prob. 34PPECh. 1.7 - Prob. 35PPECh. 1.7 - Prob. 36PPECh. 1.7 - Prob. 37PPECh. 1.7 - Prob. 38PPECh. 1.7 - Prob. 39PPECh. 1.7 - Prob. 40PPECh. 1.7 - Prob. 41PPECh. 1.7 - Prob. 42PPECh. 1.7 - Prob. 43PPECh. 1.7 - Prob. 44PPECh. 1.7 - Prob. 45PPECh. 1.7 - Prob. 46PPECh. 1.7 - Prob. 47PPECh. 1.7 - Prob. 48PPECh. 1.7 - Prob. 49PPECh. 1.7 - Prob. 50PPECh. 1.7 - Prob. 51PPECh. 1.7 - Prob. 52PPECh. 1.7 - Prob. 53PPECh. 1.7 - Prob. 54PPECh. 1.7 - Prob. 55PPECh. 1.7 - Prob. 56PPECh. 1.7 - Prob. 57PPECh. 1.7 - Prob. 58PPECh. 1.7 - Prob. 59PPECh. 1.7 - Prob. 60PPECh. 1.7 - Prob. 61PPECh. 1.7 - Prob. 62PPECh. 1.7 - Prob. 63PPECh. 1.7 - Prob. 64PPECh. 1.7 - Prob. 65PPECh. 1.7 - Prob. 66PPECh. 1.7 - Prob. 67PPECh. 1.7 - Prob. 68PPECh. 1.7 - Prob. 69PPECh. 1.7 - Prob. 70PPECh. 1.7 - Prob. 71PPECh. 1.7 - Prob. 72PPECh. 1.7 - Prob. 73PPECh. 1.7 - Prob. 74PPECh. 1.7 - Prob. 75PPECh. 1.7 - Prob. 76PPECh. 1.7 - Prob. 77PPECh. 1.7 - Prob. 78PPECh. 1.7 - Prob. 79PPECh. 1.7 - Prob. 80PPECh. 1.7 - Prob. 81PPECh. 1.7 - Prob. 82PPECh. 1.7 - Prob. 83PPECh. 1.7 - Prob. 84PPECh. 1.7 - Prob. 85PPECh. 1.7 - Prob. 86PPECh. 1.7 - Prob. 87PPECh. 1.7 - Prob. 88PPECh. 1.7 - Prob. 89PPECh. 1.7 - Prob. 90PPECh. 1.7 - Prob. 1MPCh. 1.8 - Prob. 1PCh. 1.8 - Prob. 2PCh. 1.8 - Prob. 3PCh. 1.8 - Prob. 4PCh. 1.8 - Prob. 5PCh. 1.8 - Prob. 6PCh. 1.8 - Prob. 1LCCh. 1.8 - Prob. 2LCCh. 1.8 - Prob. 3LCCh. 1.8 - Prob. 4LCCh. 1.8 - Prob. 5LCCh. 1.8 - Prob. 6LCCh. 1.8 - Prob. 7PPECh. 1.8 - Prob. 8PPECh. 1.8 - Prob. 9PPECh. 1.8 - Prob. 10PPECh. 1.8 - Prob. 11PPECh. 1.8 - Prob. 12PPECh. 1.8 - Prob. 13PPECh. 1.8 - Prob. 14PPECh. 1.8 - Prob. 15PPECh. 1.8 - Prob. 16PPECh. 1.8 - Prob. 17PPECh. 1.8 - Prob. 18PPECh. 1.8 - Prob. 19PPECh. 1.8 - Prob. 20PPECh. 1.8 - Prob. 21PPECh. 1.8 - Prob. 22PPECh. 1.8 - Prob. 23PPECh. 1.8 - Prob. 24PPECh. 1.8 - Prob. 25PPECh. 1.8 - Prob. 26PPECh. 1.8 - Prob. 27PPECh. 1.8 - Prob. 28PPECh. 1.8 - Prob. 29PPECh. 1.8 - Prob. 30PPECh. 1.8 - Prob. 31PPECh. 1.8 - Prob. 32PPECh. 1.8 - Prob. 33PPECh. 1.8 - Prob. 34PPECh. 1.8 - Prob. 35PPECh. 1.8 - Prob. 36PPECh. 1.8 - Prob. 37PPECh. 1.8 - Prob. 38PPECh. 1.8 - Prob. 39PPECh. 1.8 - Prob. 40PPECh. 1.8 - Prob. 41PPECh. 1.8 - Prob. 42PPECh. 1.8 - Prob. 43PPECh. 1.8 - Prob. 44PPECh. 1.8 - Prob. 45PPECh. 1.8 - Prob. 46PPECh. 1.8 - Prob. 47PPECh. 1.8 - Prob. 48PPECh. 1.8 - Prob. 49PPECh. 1.8 - Prob. 50PPECh. 1.8 - Prob. 51PPECh. 1.8 - Prob. 52PPECh. 1.8 - Prob. 53PPECh. 1.8 - Prob. 54PPECh. 1.8 - Prob. 55PPECh. 1.8 - Prob. 56PPECh. 1.8 - Prob. 57PPECh. 1.8 - Prob. 58PPECh. 1.8 - Prob. 59PPECh. 1.8 - Prob. 60PPECh. 1.8 - Prob. 61PPECh. 1.8 - Prob. 62PPECh. 1.8 - Prob. 63PPECh. 1.8 - Prob. 64PPECh. 1.8 - Prob. 65PPECh. 1.8 - Prob. 66PPECh. 1.8 - Prob. 1MPCh. 1.8 - Prob. 1CBCh. 1.8 - Prob. 2CBCh. 1.9 - Prob. 1RCh. 1.9 - Prob. 2RCh. 1.9 - Prob. 3RCh. 1.9 - Prob. 4RCh. 1.9 - Prob. 1PCh. 1.9 - Prob. 2PCh. 1.9 - Prob. 3PCh. 1.9 - Prob. 1LCCh. 1.9 - Prob. 2LCCh. 1.9 - Prob. 3LCCh. 1.9 - Prob. 4LCCh. 1.9 - Prob. 5LCCh. 1.9 - Prob. 6LCCh. 1.9 - Prob. 7LCCh. 1.9 - Prob. 8PPECh. 1.9 - Prob. 9PPECh. 1.9 - Prob. 10PPECh. 1.9 - Prob. 11PPECh. 1.9 - Prob. 12PPECh. 1.9 - Prob. 13PPECh. 1.9 - Prob. 14PPECh. 1.9 - Prob. 15PPECh. 1.9 - Prob. 16PPECh. 1.9 - Prob. 17PPECh. 1.9 - Prob. 18PPECh. 1.9 - Prob. 19PPECh. 1.9 - Prob. 20PPECh. 1.9 - Prob. 21PPECh. 1.9 - Prob. 22PPECh. 1.9 - Prob. 23PPECh. 1.9 - Prob. 24PPECh. 1.9 - Prob. 25PPECh. 1.9 - Prob. 26PPECh. 1.9 - Prob. 27PPECh. 1.9 - Prob. 28PPECh. 1.9 - Prob. 29PPECh. 1.9 - Prob. 30PPECh. 1.9 - Prob. 31PPECh. 1.9 - Prob. 32PPECh. 1.9 - Prob. 33PPECh. 1.9 - Prob. 34PPECh. 1.9 - Prob. 35PPECh. 1.9 - Prob. 36STPCh. 1.9 - Prob. 37STPCh. 1.9 - Prob. 38STPCh. 1.9 - Prob. 39STPCh. 1.9 - Prob. 40MRCh. 1.9 - Prob. 41MRCh. 1.9 - Prob. 42MRCh. 1.9 - Prob. 43MRCh. 1.9 - Prob. 44MRCh. 1.9 - Prob. 45MRCh. 1.9 - Prob. 46MRCh. 1.9 - Prob. 47MRCh. 1.9 - Prob. 48MRCh. 1.9 - Prob. 49MRCh. 1.9 - Prob. 50MRCh. 1.9 - Prob. 51MRCh. 1.9 - Prob. 52MRCh. 1.9 - Prob. 53MRCh. 1.9 - Prob. 54MRCh. 1 - Prob. 1GRCh. 1 - Prob. 2GRCh. 1 - Prob. 3GRCh. 1 - Prob. 4GRCh. 1 - Prob. 5GRCh. 1 - Prob. 6GRCh. 1 - Prob. 7GRCh. 1 - Prob. 8GRCh. 1 - Prob. 9GRCh. 1 - Prob. 10GRCh. 1 - Prob. 11GRCh. 1 - Prob. 12GRCh. 1 - Prob. 13GRCh. 1 - Prob. 14GRCh. 1 - Prob. 15GRCh. 1 - Prob. 16GRCh. 1 - Prob. 17GRCh. 1 - Prob. 18GRCh. 1 - Prob. 19GRCh. 1 - Prob. 20GRCh. 1 - Prob. 21GRCh. 1 - Prob. 22GRCh. 1 - Prob. 23GRCh. 1 - Prob. 24GRCh. 1 - Prob. 25GRCh. 1 - Prob. 26GRCh. 1 - Prob. 27GRCh. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - Prob. 14CRCh. 1 - Prob. 15CRCh. 1 - Prob. 16CRCh. 1 - Prob. 17CRCh. 1 - Prob. 18CRCh. 1 - Prob. 19CRCh. 1 - Prob. 20CRCh. 1 - Prob. 21CRCh. 1 - Prob. 22CRCh. 1 - Prob. 23CRCh. 1 - Prob. 24CRCh. 1 - Prob. 25CRCh. 1 - Prob. 26CRCh. 1 - Prob. 27CRCh. 1 - Prob. 28CRCh. 1 - Prob. 29CRCh. 1 - Prob. 30CRCh. 1 - Prob. 31CRCh. 1 - Prob. 32CRCh. 1 - Prob. 33CRCh. 1 - Prob. 34CRCh. 1 - Prob. 35CRCh. 1 - Prob. 36CRCh. 1 - Prob. 37CRCh. 1 - Prob. 38CRCh. 1 - Prob. 39CRCh. 1 - Prob. 40CRCh. 1 - Prob. 41CRCh. 1 - Prob. 42CRCh. 1 - Prob. 43CRCh. 1 - Prob. 44CRCh. 1 - Prob. 45CRCh. 1 - Prob. 46CRCh. 1 - Prob. 47CRCh. 1 - Prob. 48CRCh. 1 - Prob. 49CRCh. 1 - Prob. 50CRCh. 1 - Prob. 51CRCh. 1 - Prob. 52CRCh. 1 - Prob. 53CRCh. 1 - Prob. 54CRCh. 1 - Prob. 55CRCh. 1 - Prob. 56CRCh. 1 - Prob. 57CRCh. 1 - Prob. 58CRCh. 1 - Prob. 59CRCh. 1 - Prob. 60CRCh. 1 - Prob. 61CRCh. 1 - Prob. 62CRCh. 1 - Prob. 63CRCh. 1 - Prob. 64CRCh. 1 - Prob. 65CRCh. 1 - Prob. 66CRCh. 1 - Prob. 67CRCh. 1 - Prob. 68CRCh. 1 - Prob. 69CRCh. 1 - Prob. 70CRCh. 1 - Prob. 71CRCh. 1 - Prob. 72CRCh. 1 - Prob. 73CRCh. 1 - Prob. 74CRCh. 1 - Prob. 75CRCh. 1 - Prob. 76CRCh. 1 - Prob. 77CRCh. 1 - Prob. 78CRCh. 1 - Prob. 79CRCh. 1 - Prob. 80CRCh. 1 - Prob. 81CRCh. 1 - Prob. 82CRCh. 1 - Prob. 83CRCh. 1 - Prob. 84CRCh. 1 - Prob. 85CRCh. 1 - Prob. 86CRCh. 1 - Prob. 87CRCh. 1 - Prob. 88CRCh. 1 - Prob. 89CRCh. 1 - Prob. 90CRCh. 1 - Prob. 91CRCh. 1 - Prob. 92CRCh. 1 - Prob. 93CRCh. 1 - Prob. 94CRCh. 1 - Prob. 95CRCh. 1 - Prob. 96CRCh. 1 - Prob. 97CRCh. 1 - Prob. 98CRCh. 1 - Prob. 99CRCh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 22CTCh. 1 - Prob. 23CTCh. 1 - Prob. 24CTCh. 1 - Prob. 1CCSRCh. 1 - Prob. 2CCSRCh. 1 - Prob. 3CCSRCh. 1 - Prob. 4CCSRCh. 1 - Prob. 5CCSRCh. 1 - Prob. 6CCSRCh. 1 - Prob. 7CCSRCh. 1 - Prob. 8CCSRCh. 1 - Prob. 9CCSRCh. 1 - Prob. 10CCSRCh. 1 - Prob. 11CCSRCh. 1 - Prob. 12CCSRCh. 1 - Prob. 13CCSRCh. 1 - Prob. 14CCSRCh. 1 - Prob. 15CCSRCh. 1 - Prob. 16CCSRCh. 1 - Prob. 17CCSRCh. 1 - Prob. 18CCSRCh. 1 - Prob. 19CCSRCh. 1 - Prob. 20CCSRCh. 1 - Prob. 21CCSRCh. 1 - Prob. 22CCSRCh. 1 - Prob. 23CCSRCh. 1 - Prob. 24CCSR

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