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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Chapter 11.1, Problem 28PPE
To determine

Simplify the expression 4ww28w+16 and state any excluded value.

Expert Solution & Answer
Check Mark

Answer to Problem 28PPE

  4ww28w+16=1w4

Explanation of Solution

Given:

The expression: 4ww28w+16

Concept Used:

rational expression is considered simplified if the numerator and denominator have no factors in common.

Step 1: Factor the numerator and the denominator.

Step 2: List restricted values.

Step 3: Cancel common factors.

Step 4: Simplify and note any restricted values not implied by the expression.

Rational expression is in the form PQ , where Q0 , denominator cannot be zero in any rational expression.

Excluded values are also called points of discontinuity. These are the values that make the denominator equal to zero and are not part of the domain.

In any rational function, the denominator cannot be zero.

To find the excluded value of the function, make denominator equal to zero and simplify.

Calculation:

  4ww28w+16=1(w4)(w4)(w4)=1w4 Excluded value: w40w4

Thus, 4ww28w+16=1w4

Chapter 11 Solutions

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

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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