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

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Question
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Chapter 7.3, Problem 52PPE
To determine

To find: How many times the volume of the small cube is the volume of the large cube.

What expression can you write for the volume of the small cube? For the volume of large cube.

What property of exponents can you use to simplify the volume of expressions.

Expert Solution & Answer
Check Mark

Answer to Problem 52PPE

The second student is correct.

Explanation of Solution

Given information:

The given diagram:

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 7.3, Problem 52PPE

Calculation:

The volume of a small cube V=a3

  =(3x)3=33x3

(Raise each factor to the second power)

  =27x3

(Simplify)

The volume of a large cube V=a3

  =(6x)3=63x3

(Raise each factor to the second power)

  =216x3

(Simplify)

Therefore,

  volumeoflargecubevolumeofsmallcube=216x327x3

  =8

(Simplify)

Hence,

8 times the volume of the small cube is the volume of the large cube.

Again,

The expression we can write for the volume of the small cube:

  =side3=a3=(3x)3

The expression we can write for the volume of the large cube:

  =side3=a3=(6x)3

Again,

The property of exponents can we use to simplify the volume of expression is:

Raise each factor to the second power and multiply the exponents of a power raised to a power.

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Chapter 7.3, Problem 51PPE
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Chapter 7.3, Problem 53PPE

Chapter 7 Solutions

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

Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 2PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Prob. 1LCCh. 7.1 - Prob. 2LCCh. 7.1 - Prob. 3LCCh. 7.1 - Prob. 4LCCh. 7.1 - Prob. 5LCCh. 7.1 - Prob. 6LC
Ch. 7.1 - Prob. 7LCCh. 7.1 - Prob. 8LCCh. 7.1 - Prob. 9PPECh. 7.1 - Prob. 10PPECh. 7.1 - Prob. 11PPECh. 7.1 - Prob. 12PPECh. 7.1 - Prob. 13PPECh. 7.1 - Prob. 14PPECh. 7.1 - Prob. 15PPECh. 7.1 - Prob. 16PPECh. 7.1 - Prob. 17PPECh. 7.1 - Prob. 18PPECh. 7.1 - Prob. 19PPECh. 7.1 - Prob. 20PPECh. 7.1 - Prob. 21PPECh. 7.1 - Prob. 22PPECh. 7.1 - Prob. 23PPECh. 7.1 - Prob. 24PPECh. 7.1 - Prob. 25PPECh. 7.1 - Prob. 26PPECh. 7.1 - Prob. 27PPECh. 7.1 - Prob. 28PPECh. 7.1 - Prob. 29PPECh. 7.1 - Prob. 30PPECh. 7.1 - Prob. 31PPECh. 7.1 - Prob. 32PPECh. 7.1 - Prob. 33PPECh. 7.1 - Prob. 34PPECh. 7.1 - Prob. 35PPECh. 7.1 - Prob. 36PPECh. 7.1 - Prob. 37PPECh. 7.1 - Prob. 38PPECh. 7.1 - Prob. 39PPECh. 7.1 - Prob. 40PPECh. 7.1 - Prob. 41PPECh. 7.1 - Prob. 42PPECh. 7.1 - Prob. 43PPECh. 7.1 - Prob. 44PPECh. 7.1 - Prob. 45PPECh. 7.1 - Prob. 46PPECh. 7.1 - Prob. 47PPECh. 7.1 - Prob. 48PPECh. 7.1 - Prob. 49PPECh. 7.1 - Prob. 50PPECh. 7.1 - Prob. 51PPECh. 7.1 - Prob. 52PPECh. 7.1 - Prob. 53PPECh. 7.1 - Prob. 54PPECh. 7.1 - Prob. 55PPECh. 7.1 - Prob. 56PPECh. 7.1 - Prob. 57PPECh. 7.1 - Prob. 58PPECh. 7.1 - Prob. 59PPECh. 7.1 - Prob. 60PPECh. 7.1 - Prob. 61PPECh. 7.1 - Prob. 62PPECh. 7.1 - Prob. 63PPECh. 7.1 - Prob. 64PPECh. 7.1 - Prob. 65PPECh. 7.1 - Prob. 66PPECh. 7.1 - Prob. 67PPECh. 7.1 - Prob. 68PPECh. 7.1 - Prob. 69PPECh. 7.1 - Prob. 70PPECh. 7.1 - Prob. 71PPECh. 7.1 - Prob. 72PPECh. 7.1 - Prob. 73STPCh. 7.1 - Prob. 74STPCh. 7.1 - Prob. 75STPCh. 7.1 - Prob. 76STPCh. 7.1 - Prob. 77STPCh. 7.1 - Prob. 78MRCh. 7.1 - Prob. 79MRCh. 7.1 - Prob. 80MRCh. 7.1 - Prob. 81MRCh. 7.1 - Prob. 82MRCh. 7.1 - Prob. 83MRCh. 7.1 - Prob. 84MRCh. 7.1 - Prob. 85MRCh. 7.1 - Prob. 86MRCh. 7.1 - Prob. 87MRCh. 7.1 - Prob. 88MRCh. 7.1 - Prob. 89MRCh. 7.1 - Prob. 90MRCh. 7.1 - Prob. 91MRCh. 7.2 - Prob. 1PCh. 7.2 - Prob. 2PCh. 7.2 - Prob. 3PCh. 7.2 - Prob. 4PCh. 7.2 - Prob. 5PCh. 7.2 - Prob. 6PCh. 7.2 - Prob. 1LCCh. 7.2 - Prob. 2LCCh. 7.2 - Prob. 3LCCh. 7.2 - Prob. 4LCCh. 7.2 - Prob. 5LCCh. 7.2 - Prob. 6LCCh. 7.2 - Prob. 7LCCh. 7.2 - Prob. 8PPECh. 7.2 - Prob. 9PPECh. 7.2 - Prob. 10PPECh. 7.2 - Prob. 11PPECh. 7.2 - Prob. 12PPECh. 7.2 - Prob. 13PPECh. 7.2 - Prob. 14PPECh. 7.2 - Prob. 15PPECh. 7.2 - Prob. 16PPECh. 7.2 - Prob. 17PPECh. 7.2 - Prob. 18PPECh. 7.2 - Prob. 19PPECh. 7.2 - Prob. 20PPECh. 7.2 - Prob. 21PPECh. 7.2 - Prob. 22PPECh. 7.2 - Prob. 23PPECh. 7.2 - Prob. 24PPECh. 7.2 - Prob. 25PPECh. 7.2 - Prob. 26PPECh. 7.2 - Prob. 27PPECh. 7.2 - Prob. 28PPECh. 7.2 - Prob. 29PPECh. 7.2 - Prob. 30PPECh. 7.2 - Prob. 31PPECh. 7.2 - Prob. 32PPECh. 7.2 - Prob. 33PPECh. 7.2 - Prob. 34PPECh. 7.2 - Prob. 35PPECh. 7.2 - Prob. 36PPECh. 7.2 - Prob. 37PPECh. 7.2 - Prob. 38PPECh. 7.2 - Prob. 39PPECh. 7.2 - Prob. 40PPECh. 7.2 - Prob. 41PPECh. 7.2 - Prob. 42PPECh. 7.2 - Prob. 43PPECh. 7.2 - Prob. 44PPECh. 7.2 - Prob. 45PPECh. 7.2 - Prob. 46PPECh. 7.2 - Prob. 47PPECh. 7.2 - Prob. 48PPECh. 7.2 - Prob. 49PPECh. 7.2 - Prob. 50PPECh. 7.2 - Prob. 51PPECh. 7.2 - Prob. 52PPECh. 7.2 - Prob. 53PPECh. 7.2 - Prob. 54STPCh. 7.2 - Prob. 55STPCh. 7.2 - Prob. 56STPCh. 7.2 - Prob. 57STPCh. 7.2 - Prob. 58STPCh. 7.2 - Prob. 59MRCh. 7.2 - Prob. 60MRCh. 7.2 - Prob. 61MRCh. 7.2 - Prob. 62MRCh. 7.2 - Prob. 63MRCh. 7.2 - Prob. 64MRCh. 7.2 - Prob. 65MRCh. 7.2 - Prob. 66MRCh. 7.2 - Prob. 67MRCh. 7.2 - Prob. 68MRCh. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Prob. 3PCh. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 1LCCh. 7.3 - Prob. 2LCCh. 7.3 - Prob. 3LCCh. 7.3 - Prob. 4LCCh. 7.3 - Prob. 5LCCh. 7.3 - Prob. 6LCCh. 7.3 - Prob. 7LCCh. 7.3 - Prob. 8LCCh. 7.3 - Prob. 9LCCh. 7.3 - Prob. 10PPECh. 7.3 - Prob. 11PPECh. 7.3 - Prob. 12PPECh. 7.3 - Prob. 13PPECh. 7.3 - Prob. 14PPECh. 7.3 - Prob. 15PPECh. 7.3 - Prob. 16PPECh. 7.3 - Prob. 17PPECh. 7.3 - Prob. 18PPECh. 7.3 - Prob. 19PPECh. 7.3 - Prob. 20PPECh. 7.3 - Prob. 21PPECh. 7.3 - Prob. 22PPECh. 7.3 - Prob. 23PPECh. 7.3 - Prob. 24PPECh. 7.3 - Prob. 25PPECh. 7.3 - Prob. 26PPECh. 7.3 - Prob. 27PPECh. 7.3 - Prob. 28PPECh. 7.3 - Prob. 29PPECh. 7.3 - Prob. 30PPECh. 7.3 - Prob. 31PPECh. 7.3 - Prob. 32PPECh. 7.3 - Prob. 33PPECh. 7.3 - Prob. 34PPECh. 7.3 - Prob. 35PPECh. 7.3 - Prob. 36PPECh. 7.3 - Prob. 37PPECh. 7.3 - Prob. 38PPECh. 7.3 - Prob. 39PPECh. 7.3 - Prob. 40PPECh. 7.3 - Prob. 41PPECh. 7.3 - Prob. 42PPECh. 7.3 - Prob. 43PPECh. 7.3 - Prob. 44PPECh. 7.3 - Prob. 45PPECh. 7.3 - Prob. 46PPECh. 7.3 - Prob. 47PPECh. 7.3 - Prob. 48PPECh. 7.3 - Prob. 49PPECh. 7.3 - Prob. 50PPECh. 7.3 - Prob. 51PPECh. 7.3 - Prob. 52PPECh. 7.3 - Prob. 53PPECh. 7.3 - Prob. 54PPECh. 7.3 - Prob. 55PPECh. 7.3 - Prob. 56PPECh. 7.3 - Prob. 57PPECh. 7.3 - Prob. 58PPECh. 7.3 - Prob. 59PPECh. 7.3 - Prob. 60PPECh. 7.3 - Prob. 61PPECh. 7.3 - Prob. 62PPECh. 7.3 - Prob. 63PPECh. 7.3 - Prob. 64PPECh. 7.3 - Prob. 65PPECh. 7.3 - Prob. 66PPECh. 7.3 - Prob. 67PPECh. 7.3 - Prob. 68PPECh. 7.3 - Prob. 69PPECh. 7.3 - Prob. 70PPECh. 7.3 - Prob. 71PPECh. 7.3 - Prob. 72PPECh. 7.3 - Prob. 73PPECh. 7.3 - Prob. 1MPCh. 7.4 - Prob. 1PCh. 7.4 - Prob. 2PCh. 7.4 - Prob. 3PCh. 7.4 - Prob. 4PCh. 7.4 - Prob. 1LCCh. 7.4 - Prob. 2LCCh. 7.4 - Prob. 3LCCh. 7.4 - Prob. 4LCCh. 7.4 - Prob. 5LCCh. 7.4 - Prob. 6LCCh. 7.4 - Prob. 7LCCh. 7.4 - Prob. 8PPECh. 7.4 - Prob. 9PPECh. 7.4 - Prob. 10PPECh. 7.4 - Prob. 11PPECh. 7.4 - Prob. 12PPECh. 7.4 - Prob. 13PPECh. 7.4 - Prob. 14PPECh. 7.4 - Prob. 15PPECh. 7.4 - Prob. 16PPECh. 7.4 - Prob. 17PPECh. 7.4 - Prob. 18PPECh. 7.4 - Prob. 19PPECh. 7.4 - Prob. 20PPECh. 7.4 - Prob. 21PPECh. 7.4 - Prob. 22PPECh. 7.4 - Prob. 23PPECh. 7.4 - Prob. 24PPECh. 7.4 - Prob. 25PPECh. 7.4 - Prob. 26PPECh. 7.4 - Prob. 27PPECh. 7.4 - Prob. 28PPECh. 7.4 - Prob. 29PPECh. 7.4 - Prob. 30PPECh. 7.4 - Prob. 31PPECh. 7.4 - Prob. 32PPECh. 7.4 - Prob. 33PPECh. 7.4 - Prob. 34PPECh. 7.4 - Prob. 35PPECh. 7.4 - Prob. 36PPECh. 7.4 - Prob. 37PPECh. 7.4 - Prob. 38PPECh. 7.4 - Prob. 39PPECh. 7.4 - Prob. 40PPECh. 7.4 - Prob. 41PPECh. 7.4 - Prob. 42PPECh. 7.4 - Prob. 43PPECh. 7.4 - Prob. 44PPECh. 7.4 - Prob. 45PPECh. 7.4 - Prob. 46PPECh. 7.4 - Prob. 47PPECh. 7.4 - Prob. 48PPECh. 7.4 - Prob. 49PPECh. 7.4 - Prob. 50PPECh. 7.4 - Prob. 51PPECh. 7.4 - Prob. 52PPECh. 7.4 - Prob. 53PPECh. 7.4 - Prob. 54PPECh. 7.4 - Prob. 55PPECh. 7.4 - Prob. 56PPECh. 7.4 - Prob. 57PPECh. 7.4 - Prob. 58PPECh. 7.4 - Prob. 59PPECh. 7.4 - Prob. 60PPECh. 7.4 - Prob. 61PPECh. 7.4 - Prob. 62PPECh. 7.4 - Prob. 63PPECh. 7.4 - Prob. 64PPECh. 7.4 - Prob. 65PPECh. 7.4 - Prob. 66PPECh. 7.4 - Prob. 67PPECh. 7.4 - Prob. 68PPECh. 7.4 - Prob. 69PPECh. 7.4 - Prob. 70PPECh. 7.4 - Prob. 71PPECh. 7.4 - Prob. 72PPECh. 7.4 - Prob. 73PPECh. 7.4 - Prob. 74PPECh. 7.4 - Prob. 75PPECh. 7.4 - Prob. 76PPECh. 7.4 - Prob. 77PPECh. 7.4 - Prob. 78PPECh. 7.4 - Prob. 79PPECh. 7.4 - Prob. 80PPECh. 7.4 - Prob. 81PPECh. 7.4 - Prob. 82PPECh. 7.4 - Prob. 83PPECh. 7.4 - Prob. 84PPECh. 7.4 - Prob. 85PPECh. 7.4 - Prob. 86PPECh. 7.4 - Prob. 87PPECh. 7.4 - Prob. 88PPECh. 7.4 - Prob. 89PPECh. 7.4 - Prob. 90PPECh. 7.4 - Prob. 91PPECh. 7.4 - Prob. 92PPECh. 7.4 - Prob. 93PPECh. 7.4 - Prob. 94STPCh. 7.4 - Prob. 95STPCh. 7.4 - Prob. 96STPCh. 7.4 - Prob. 97STPCh. 7.4 - Prob. 98MRCh. 7.4 - Prob. 99MRCh. 7.4 - Prob. 100MRCh. 7.4 - Prob. 101MRCh. 7.4 - Prob. 102MRCh. 7.4 - Prob. 103MRCh. 7.4 - Prob. 104MRCh. 7.4 - Prob. 105MRCh. 7.4 - Prob. 106MRCh. 7.4 - Prob. 107MRCh. 7.4 - Prob. 108MRCh. 7.4 - Prob. 109MRCh. 7.4 - Prob. 110MRCh. 7.4 - Prob. 1MCQCh. 7.4 - Prob. 2MCQCh. 7.4 - Prob. 3MCQCh. 7.4 - Prob. 4MCQCh. 7.4 - Prob. 5MCQCh. 7.4 - Prob. 6MCQCh. 7.4 - Prob. 7MCQCh. 7.4 - Prob. 8MCQCh. 7.4 - Prob. 9MCQCh. 7.4 - Prob. 10MCQCh. 7.4 - Prob. 11MCQCh. 7.4 - Prob. 12MCQCh. 7.4 - Prob. 13MCQCh. 7.4 - Prob. 14MCQCh. 7.4 - Prob. 15MCQCh. 7.4 - Prob. 16MCQCh. 7.4 - Prob. 17MCQCh. 7.4 - Prob. 18MCQCh. 7.4 - Prob. 19MCQCh. 7.4 - Prob. 20MCQCh. 7.4 - Prob. 21MCQCh. 7.4 - Prob. 22MCQCh. 7.4 - Prob. 23MCQCh. 7.4 - Prob. 24MCQCh. 7.4 - Prob. 25MCQCh. 7.4 - Prob. 26MCQCh. 7.4 - Prob. 27MCQCh. 7.4 - Prob. 28MCQCh. 7.5 - Prob. 12CBCh. 7.5 - Prob. 13CBCh. 7.5 - Prob. 14CBCh. 7.5 - Prob. 1PCh. 7.5 - Prob. 2PCh. 7.5 - Prob. 3PCh. 7.5 - Prob. 4PCh. 7.5 - Prob. 1LCCh. 7.5 - Prob. 2LCCh. 7.5 - Prob. 3LCCh. 7.5 - Prob. 4LCCh. 7.5 - Prob. 5LCCh. 7.5 - Prob. 6LCCh. 7.5 - Prob. 7LCCh. 7.5 - Prob. 8LCCh. 7.5 - Prob. 9LCCh. 7.5 - Prob. 10LCCh. 7.5 - Prob. 11PPECh. 7.5 - Prob. 12PPECh. 7.5 - Prob. 13PPECh. 7.5 - Prob. 14PPECh. 7.5 - Prob. 15PPECh. 7.5 - Prob. 16PPECh. 7.5 - Prob. 17PPECh. 7.5 - Prob. 18PPECh. 7.5 - Prob. 19PPECh. 7.5 - Prob. 20PPECh. 7.5 - Prob. 21PPECh. 7.5 - Prob. 22PPECh. 7.5 - Prob. 23PPECh. 7.5 - Prob. 24PPECh. 7.5 - Prob. 25PPECh. 7.5 - Prob. 26PPECh. 7.5 - Prob. 27PPECh. 7.5 - Prob. 28PPECh. 7.5 - Prob. 29PPECh. 7.5 - Prob. 30PPECh. 7.5 - Prob. 31PPECh. 7.5 - Prob. 32PPECh. 7.5 - Prob. 33PPECh. 7.5 - Prob. 34PPECh. 7.5 - Prob. 35PPECh. 7.5 - Prob. 36PPECh. 7.5 - Prob. 37PPECh. 7.5 - Prob. 38PPECh. 7.5 - Prob. 39PPECh. 7.5 - Prob. 40PPECh. 7.5 - Prob. 41PPECh. 7.5 - Prob. 42PPECh. 7.5 - Prob. 43PPECh. 7.5 - Prob. 44PPECh. 7.5 - Prob. 45PPECh. 7.5 - Prob. 46PPECh. 7.5 - Prob. 47PPECh. 7.5 - Prob. 48PPECh. 7.5 - Prob. 49PPECh. 7.5 - Prob. 50PPECh. 7.5 - Prob. 51PPECh. 7.5 - Prob. 52PPECh. 7.5 - Prob. 53PPECh. 7.5 - Prob. 54PPECh. 7.5 - Prob. 55STPCh. 7.5 - Prob. 56STPCh. 7.5 - Prob. 57STPCh. 7.5 - Prob. 58MRCh. 7.5 - Prob. 59MRCh. 7.5 - Prob. 60MRCh. 7.5 - Prob. 61MRCh. 7.5 - Prob. 62MRCh. 7.5 - Prob. 63MRCh. 7.5 - Prob. 64MRCh. 7.5 - Prob. 65MRCh. 7.5 - Prob. 66MRCh. 7.5 - Prob. 67MRCh. 7.5 - Prob. 68MRCh. 7.5 - Prob. 69MRCh. 7.5 - Prob. 70MRCh. 7.5 - Prob. 71MRCh. 7.5 - Prob. 72MRCh. 7.5 - Prob. 73MRCh. 7.5 - Prob. 74MRCh. 7.5 - Prob. 75MRCh. 7.5 - Prob. 76MRCh. 7.5 - Prob. 77MRCh. 7.6 - Prob. 1PCh. 7.6 - Prob. 2PCh. 7.6 - Prob. 3PCh. 7.6 - Prob. 4PCh. 7.6 - Prob. 5PCh. 7.6 - Prob. 1LCCh. 7.6 - Prob. 2LCCh. 7.6 - Prob. 3LCCh. 7.6 - Prob. 4LCCh. 7.6 - Prob. 5LCCh. 7.6 - Prob. 6LCCh. 7.6 - Prob. 7LCCh. 7.6 - Prob. 8PPECh. 7.6 - Prob. 9PPECh. 7.6 - Prob. 10PPECh. 7.6 - Prob. 11PPECh. 7.6 - Prob. 12PPECh. 7.6 - Prob. 13PPECh. 7.6 - Prob. 14PPECh. 7.6 - Prob. 15PPECh. 7.6 - Prob. 16PPECh. 7.6 - Prob. 17PPECh. 7.6 - Prob. 18PPECh. 7.6 - Prob. 19PPECh. 7.6 - Prob. 20PPECh. 7.6 - Prob. 21PPECh. 7.6 - Prob. 22PPECh. 7.6 - Prob. 23PPECh. 7.6 - Prob. 24PPECh. 7.6 - Prob. 25PPECh. 7.6 - Prob. 26PPECh. 7.6 - Prob. 27PPECh. 7.6 - Prob. 28PPECh. 7.6 - Prob. 29PPECh. 7.6 - Prob. 30PPECh. 7.6 - Prob. 31PPECh. 7.6 - Prob. 32PPECh. 7.6 - Prob. 33PPECh. 7.6 - Prob. 34PPECh. 7.6 - Prob. 35PPECh. 7.6 - Prob. 36PPECh. 7.6 - Prob. 37PPECh. 7.6 - Prob. 38PPECh. 7.6 - Prob. 39PPECh. 7.6 - Prob. 40PPECh. 7.6 - Prob. 41PPECh. 7.6 - Prob. 42PPECh. 7.6 - Prob. 43PPECh. 7.6 - Prob. 44PPECh. 7.6 - Prob. 45PPECh. 7.6 - Prob. 46PPECh. 7.6 - Prob. 47PPECh. 7.6 - Prob. 48PPECh. 7.6 - Prob. 49PPECh. 7.6 - Prob. 50PPECh. 7.6 - Prob. 51PPECh. 7.6 - Prob. 52PPECh. 7.6 - Prob. 53PPECh. 7.6 - Prob. 54PPECh. 7.6 - Prob. 55PPECh. 7.6 - Prob. 1MPCh. 7.7 - Prob. 1PCh. 7.7 - Prob. 2PCh. 7.7 - Prob. 3PCh. 7.7 - Prob. 1LCCh. 7.7 - Prob. 2LCCh. 7.7 - Prob. 3LCCh. 7.7 - Prob. 4LCCh. 7.7 - Prob. 5LCCh. 7.7 - Prob. 6LCCh. 7.7 - Prob. 7LCCh. 7.7 - Prob. 8LCCh. 7.7 - Prob. 9PPECh. 7.7 - Prob. 10PPECh. 7.7 - Prob. 11PPECh. 7.7 - Prob. 12PPECh. 7.7 - Prob. 13PPECh. 7.7 - Prob. 14PPECh. 7.7 - Prob. 15PPECh. 7.7 - Prob. 16PPECh. 7.7 - Prob. 17PPECh. 7.7 - Prob. 18PPECh. 7.7 - Prob. 19PPECh. 7.7 - Prob. 20PPECh. 7.7 - Prob. 21PPECh. 7.7 - Prob. 22PPECh. 7.7 - Prob. 23PPECh. 7.7 - Prob. 24PPECh. 7.7 - Prob. 25PPECh. 7.7 - Prob. 26PPECh. 7.7 - Prob. 27PPECh. 7.7 - Prob. 28PPECh. 7.7 - Prob. 29PPECh. 7.7 - Prob. 30PPECh. 7.7 - Prob. 31PPECh. 7.7 - Prob. 32PPECh. 7.7 - Prob. 33PPECh. 7.7 - Prob. 34PPECh. 7.7 - Prob. 35PPECh. 7.7 - Prob. 36PPECh. 7.7 - Prob. 37PPECh. 7.7 - Prob. 38PPECh. 7.7 - Prob. 39PPECh. 7.7 - Prob. 40PPECh. 7.7 - Prob. 41PPECh. 7.7 - Prob. 42PPECh. 7.7 - Prob. 1MPCh. 7.8 - Prob. 1PCh. 7.8 - Prob. 2PCh. 7.8 - Prob. 3PCh. 7.8 - Prob. 4PCh. 7.8 - Prob. 1LCCh. 7.8 - Prob. 2LCCh. 7.8 - Prob. 3LCCh. 7.8 - Prob. 4LCCh. 7.8 - Prob. 5LCCh. 7.8 - Prob. 6LCCh. 7.8 - Prob. 7LCCh. 7.8 - Prob. 8LCCh. 7.8 - Prob. 9LCCh. 7.8 - Prob. 10PPECh. 7.8 - Prob. 11PPECh. 7.8 - Prob. 12PPECh. 7.8 - Prob. 13PPECh. 7.8 - Prob. 14PPECh. 7.8 - Prob. 15PPECh. 7.8 - Prob. 16PPECh. 7.8 - Prob. 17PPECh. 7.8 - Prob. 18PPECh. 7.8 - Prob. 19PPECh. 7.8 - Prob. 20PPECh. 7.8 - Prob. 21PPECh. 7.8 - Prob. 22PPECh. 7.8 - Prob. 23PPECh. 7.8 - Prob. 24PPECh. 7.8 - Prob. 25PPECh. 7.8 - Prob. 26PPECh. 7.8 - Prob. 27PPECh. 7.8 - Prob. 28PPECh. 7.8 - Prob. 29PPECh. 7.8 - Prob. 30PPECh. 7.8 - Prob. 31PPECh. 7.8 - Prob. 32PPECh. 7.8 - Prob. 33PPECh. 7.8 - Prob. 34PPECh. 7.8 - Prob. 35PPECh. 7.8 - Prob. 36PPECh. 7.8 - Prob. 37PPECh. 7.8 - Prob. 38PPECh. 7.8 - Prob. 39PPECh. 7.8 - Prob. 40PPECh. 7.8 - Prob. 41PPECh. 7.8 - Prob. 42PPECh. 7.8 - Prob. 43PPECh. 7.8 - Prob. 44PPECh. 7.8 - Prob. 45PPECh. 7.8 - Prob. 46PPECh. 7.8 - Prob. 47PPECh. 7.8 - Prob. 48PPECh. 7.8 - Prob. 49PPECh. 7.8 - Prob. 50PPECh. 7.8 - Prob. 51PPECh. 7.8 - Prob. 52PPECh. 7.8 - Prob. 53PPECh. 7.8 - Prob. 54STPCh. 7.8 - Prob. 55STPCh. 7.8 - Prob. 56STPCh. 7.8 - Prob. 57STPCh. 7.8 - Prob. 58STPCh. 7.8 - Prob. 59MRCh. 7.8 - Prob. 60MRCh. 7.8 - Prob. 61MRCh. 7.8 - Prob. 62MRCh. 7.8 - Prob. 63MRCh. 7.8 - Prob. 64MRCh. 7.8 - Prob. 65MRCh. 7.8 - Prob. 66MRCh. 7.8 - Prob. 67MRCh. 7.8 - Prob. 68MRCh. 7.8 - Prob. 69MRCh. 7 - Prob. 1GRCh. 7 - Prob. 2GRCh. 7 - Prob. 3GRCh. 7 - Prob. 4GRCh. 7 - Prob. 5GRCh. 7 - Prob. 6GRCh. 7 - Prob. 7GRCh. 7 - Prob. 8GRCh. 7 - Prob. 9GRCh. 7 - Prob. 10GRCh. 7 - Prob. 11GRCh. 7 - Prob. 12GRCh. 7 - Prob. 13GRCh. 7 - Prob. 14GRCh. 7 - Prob. 15GRCh. 7 - Prob. 16GRCh. 7 - Prob. 17GRCh. 7 - Prob. 18GRCh. 7 - Prob. 19GRCh. 7 - Prob. 20GRCh. 7 - Prob. 21GRCh. 7 - Prob. 22GRCh. 7 - Prob. 23GRCh. 7 - Prob. 24GRCh. 7 - Prob. 25GRCh. 7 - Prob. 26GRCh. 7 - Prob. 27GRCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 25CRCh. 7 - Prob. 26CRCh. 7 - Prob. 27CRCh. 7 - Prob. 28CRCh. 7 - Prob. 29CRCh. 7 - Prob. 30CRCh. 7 - Prob. 31CRCh. 7 - Prob. 32CRCh. 7 - Prob. 33CRCh. 7 - Prob. 34CRCh. 7 - Prob. 35CRCh. 7 - Prob. 36CRCh. 7 - Prob. 37CRCh. 7 - Prob. 38CRCh. 7 - Prob. 39CRCh. 7 - Prob. 40CRCh. 7 - Prob. 41CRCh. 7 - Prob. 42CRCh. 7 - Prob. 43CRCh. 7 - Prob. 44CRCh. 7 - Prob. 45CRCh. 7 - Prob. 46CRCh. 7 - Prob. 47CRCh. 7 - Prob. 48CRCh. 7 - Prob. 49CRCh. 7 - Prob. 50CRCh. 7 - Prob. 51CRCh. 7 - Prob. 52CRCh. 7 - Prob. 53CRCh. 7 - Prob. 54CRCh. 7 - Prob. 55CRCh. 7 - Prob. 56CRCh. 7 - Prob. 57CRCh. 7 - Prob. 58CRCh. 7 - Prob. 59CRCh. 7 - Prob. 60CRCh. 7 - Prob. 61CRCh. 7 - Prob. 62CRCh. 7 - Prob. 63CRCh. 7 - Prob. 64CRCh. 7 - Prob. 65CRCh. 7 - Prob. 66CRCh. 7 - Prob. 67CRCh. 7 - Prob. 68CRCh. 7 - Prob. 69CRCh. 7 - Prob. 70CRCh. 7 - Prob. 71CRCh. 7 - Prob. 72CRCh. 7 - Prob. 73CRCh. 7 - Prob. 74CRCh. 7 - Prob. 75CRCh. 7 - Prob. 76CRCh. 7 - Prob. 77CRCh. 7 - Prob. 78CRCh. 7 - Prob. 79CRCh. 7 - Prob. 80CRCh. 7 - Prob. 81CRCh. 7 - Prob. 82CRCh. 7 - Prob. 83CRCh. 7 - Prob. 84CRCh. 7 - Prob. 85CRCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 17CTCh. 7 - Prob. 18CTCh. 7 - Prob. 19CTCh. 7 - Prob. 20CTCh. 7 - Prob. 21CTCh. 7 - Prob. 22CTCh. 7 - Prob. 23CTCh. 7 - Prob. 24CTCh. 7 - Prob. 25CTCh. 7 - Prob. 1CCSRCh. 7 - Prob. 2CCSRCh. 7 - Prob. 3CCSRCh. 7 - Prob. 4CCSRCh. 7 - Prob. 5CCSRCh. 7 - Prob. 6CCSRCh. 7 - Prob. 7CCSRCh. 7 - Prob. 8CCSRCh. 7 - Prob. 9CCSRCh. 7 - Prob. 10CCSRCh. 7 - Prob. 11CCSRCh. 7 - Prob. 12CCSRCh. 7 - Prob. 13CCSRCh. 7 - Prob. 14CCSRCh. 7 - Prob. 15CCSRCh. 7 - Prob. 16CCSRCh. 7 - Prob. 17CCSRCh. 7 - Prob. 18CCSRCh. 7 - Prob. 19CCSRCh. 7 - Prob. 20CCSRCh. 7 - Prob. 21CCSRCh. 7 - Prob. 22CCSRCh. 7 - Prob. 23CCSRCh. 7 - Prob. 24CCSRCh. 7 - Prob. 25CCSRCh. 7 - Prob. 26CCSRCh. 7 - Prob. 27CCSR

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