Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Minimization
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Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
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Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Question
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Chapter 1.7, Problem 36PPS
To determine

The value of g(−3) .

Expert Solution & Answer
Check Mark

Answer to Problem 36PPS

  g(−3)=−6

Explanation of Solution

Given:

The functions: f(x)=−2x−3, and g(x)=x2+5x

Concept Used:

Rules of Addition/ Subtraction:

  • Two numbers with similar sign always get added and the resulting number will carry the similar sign.
  • Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

  • The product/quotient of two similar sign numbers is always positive.
  • The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to find the value of g(−3) , substitute x=−3 in the given function g(x) and simplify further as shown below,

  g(−3)=(−3)2+5(−3)=9−15=−6

Thus, the value of the function at specified point is g(−3)=−6 .

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Chapter 1.7, Problem 35PPS
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Chapter 1.7, Problem 37PPS

Chapter 1 Solutions

Algebra 1

Ch. 1.1 - Prob. 1CYUCh. 1.1 - Prob. 3CYUCh. 1.1 - Prob. 16PPSCh. 1.1 - Prob. 17PPSCh. 1.1 - Prob. 27PPSCh. 1.1 - Prob. 28PPSCh. 1.1 - Prob. 29PPSCh. 1.1 - Prob. 31PPSCh. 1.1 - Prob. 33PPSCh. 1.1 - Prob. 37PPS
Ch. 1.1 - Prob. 39HPCh. 1.1 - Prob. 40HPCh. 1.1 - Prob. 41HPCh. 1.1 - Prob. 44STPCh. 1.1 - Prob. 46STPCh. 1.1 - Prob. 52SRCh. 1.1 - Prob. 53SRCh. 1.1 - Prob. 54SRCh. 1.1 - Prob. 55SRCh. 1.1 - Prob. 56SCh. 1.1 - Prob. 57SCh. 1.1 - Prob. 58SCh. 1.1 - Prob. 59SCh. 1.1 - Prob. 60SCh. 1.1 - Prob. 61SCh. 1.1 - Prob. 4CYUCh. 1.1 - Prob. 5CYUCh. 1.1 - Prob. 6CYUCh. 1.1 - Prob. 7CYUCh. 1.1 - Prob. 8CYUCh. 1.1 - Prob. 19PPSCh. 1.1 - Prob. 22PPSCh. 1.1 - Prob. 30PPSCh. 1.1 - Prob. 32PPSCh. 1.1 - Prob. 42HPCh. 1.1 - Prob. 1ACYPCh. 1.1 - Prob. 1BCYPCh. 1.1 - Prob. 2ACYPCh. 1.1 - Prob. 2BCYPCh. 1.1 - Prob. 2CYUCh. 1.1 - Prob. 9CYUCh. 1.1 - Prob. 10CYUCh. 1.1 - Prob. 11PPSCh. 1.1 - Prob. 12PPSCh. 1.1 - Prob. 13PPSCh. 1.1 - Prob. 14PPSCh. 1.1 - Prob. 15PPSCh. 1.1 - Prob. 18PPSCh. 1.1 - Prob. 20PPSCh. 1.1 - Prob. 21PPSCh. 1.1 - Prob. 23PPSCh. 1.1 - Prob. 24PPSCh. 1.1 - Prob. 25PPSCh. 1.1 - Prob. 26PPSCh. 1.1 - Prob. 36PPSCh. 1.1 - Prob. 38HPCh. 1.1 - Prob. 48SRCh. 1.1 - Prob. 3CYPCh. 1.1 - Prob. 34PPSCh. 1.1 - Prob. 35PPSCh. 1.1 - Prob. 43STPCh. 1.1 - Prob. 45STPCh. 1.1 - Prob. 47SRCh. 1.1 - Prob. 49SRCh. 1.1 - Prob. 50SRCh. 1.1 - Prob. 51SRCh. 1.2 - Prob. 4ACYPCh. 1.2 - Prob. 4BCYPCh. 1.2 - Prob. 1CYUCh. 1.2 - Prob. 2CYUCh. 1.2 - Prob. 3CYUCh. 1.2 - Prob. 4CYUCh. 1.2 - Prob. 5CYUCh. 1.2 - Prob. 9CYUCh. 1.2 - Prob. 15PPSCh. 1.2 - Prob. 19PPSCh. 1.2 - Prob. 31PPSCh. 1.2 - Prob. 33PPSCh. 1.2 - Prob. 56PPSCh. 1.2 - Prob. 8CYUCh. 1.2 - Prob. 12CYUCh. 1.2 - Prob. 20PPSCh. 1.2 - Prob. 21PPSCh. 1.2 - Prob. 22PPSCh. 1.2 - Prob. 23PPSCh. 1.2 - Prob. 24PPSCh. 1.2 - Prob. 25PPSCh. 1.2 - Prob. 26PPSCh. 1.2 - Prob. 27PPSCh. 1.2 - Prob. 28PPSCh. 1.2 - Prob. 29PPSCh. 1.2 - Prob. 30PPSCh. 1.2 - Prob. 32PPSCh. 1.2 - Prob. 34PPSCh. 1.2 - Prob. 35PPSCh. 1.2 - Prob. 36PPSCh. 1.2 - Prob. 39PPSCh. 1.2 - Prob. 40PPSCh. 1.2 - Prob. 41PPSCh. 1.2 - Prob. 42PPSCh. 1.2 - Prob. 43PPSCh. 1.2 - Prob. 44PPSCh. 1.2 - Prob. 45PPSCh. 1.2 - Prob. 46PPSCh. 1.2 - Prob. 47PPSCh. 1.2 - Prob. 48PPSCh. 1.2 - Prob. 49PPSCh. 1.2 - Prob. 50PPSCh. 1.2 - Prob. 51PPSCh. 1.2 - Prob. 52PPSCh. 1.2 - Prob. 53PPSCh. 1.2 - Prob. 54PPSCh. 1.2 - Prob. 1ACYPCh. 1.2 - Prob. 1BCYPCh. 1.2 - Prob. 1CCYPCh. 1.2 - Prob. 2ACYPCh. 1.2 - Prob. 2BCYPCh. 1.2 - Prob. 3ACYPCh. 1.2 - Prob. 3BCYPCh. 1.2 - Prob. 3CCYPCh. 1.2 - Prob. 5ACYPCh. 1.2 - Prob. 5BCYPCh. 1.2 - Prob. 6CYUCh. 1.2 - Prob. 7CYUCh. 1.2 - Prob. 10CYUCh. 1.2 - Prob. 11CYUCh. 1.2 - Prob. 13CYUCh. 1.2 - Prob. 16PPSCh. 1.2 - Prob. 17PPSCh. 1.2 - Prob. 18PPSCh. 1.2 - Prob. 55PPSCh. 1.2 - Prob. 57PPSCh. 1.2 - Prob. 59HPCh. 1.2 - Prob. 60HPCh. 1.2 - Prob. 61HPCh. 1.2 - Prob. 62HPCh. 1.2 - Prob. 63HPCh. 1.2 - Prob. 64HPCh. 1.2 - Prob. 65STPCh. 1.2 - Prob. 66STPCh. 1.2 - Prob. 68STPCh. 1.2 - Prob. 69SRCh. 1.2 - Prob. 70SRCh. 1.2 - Prob. 71SRCh. 1.2 - Prob. 72SRCh. 1.2 - Prob. 73SRCh. 1.2 - Prob. 74SRCh. 1.2 - Prob. 75SRCh. 1.2 - Prob. 76SRCh. 1.2 - Prob. 77SCh. 1.2 - Prob. 78SCh. 1.2 - Prob. 79SCh. 1.2 - Prob. 80SCh. 1.2 - Prob. 81SCh. 1.2 - Prob. 82SCh. 1.2 - Prob. 14CYUCh. 1.2 - Prob. 37PPSCh. 1.2 - Prob. 38PPSCh. 1.2 - Prob. 58PPSCh. 1.2 - Prob. 67STPCh. 1.3 - Prob. 1ACYPCh. 1.3 - Prob. 1BCYPCh. 1.3 - Prob. 2CYUCh. 1.3 - Prob. 3CYUCh. 1.3 - Prob. 5CYUCh. 1.3 - Prob. 6CYUCh. 1.3 - Prob. 7CYUCh. 1.3 - Prob. 15PPSCh. 1.3 - Prob. 54HPCh. 1.3 - Prob. 17PPSCh. 1.3 - Prob. 19PPSCh. 1.3 - Prob. 47PPSCh. 1.3 - Prob. 1CYUCh. 1.3 - Prob. 4CYUCh. 1.3 - Prob. 8CYUCh. 1.3 - Prob. 9PPSCh. 1.3 - Prob. 10PPSCh. 1.3 - Prob. 11PPSCh. 1.3 - Prob. 13PPSCh. 1.3 - Prob. 14PPSCh. 1.3 - Prob. 18PPSCh. 1.3 - Prob. 20PPSCh. 1.3 - Prob. 21PPSCh. 1.3 - Prob. 22PPSCh. 1.3 - Prob. 23PPSCh. 1.3 - Prob. 24PPSCh. 1.3 - Prob. 25PPSCh. 1.3 - Prob. 26PPSCh. 1.3 - Prob. 27PPSCh. 1.3 - Prob. 40PPSCh. 1.3 - Prob. 43PPSCh. 1.3 - Prob. 44PPSCh. 1.3 - Prob. 45PPSCh. 1.3 - Prob. 46PPSCh. 1.3 - Prob. 48PPSCh. 1.3 - Prob. 55HPCh. 1.3 - Prob. 58HPCh. 1.3 - Prob. 3ACYPCh. 1.3 - Prob. 3BCYPCh. 1.3 - Prob. 12PPSCh. 1.3 - Prob. 28PPSCh. 1.3 - Prob. 29PPSCh. 1.3 - Prob. 30PPSCh. 1.3 - Prob. 31PPSCh. 1.3 - Prob. 32PPSCh. 1.3 - Prob. 33PPSCh. 1.3 - 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Prob. 11PPSCh. 1.5 - Prob. 12PPSCh. 1.5 - Prob. 13PPSCh. 1.5 - Prob. 14PPSCh. 1.5 - Prob. 15PPSCh. 1.5 - Prob. 16PPSCh. 1.5 - Prob. 17PPSCh. 1.5 - Prob. 18PPSCh. 1.5 - Prob. 19PPSCh. 1.5 - Prob. 20PPSCh. 1.5 - Prob. 21PPSCh. 1.5 - Prob. 22PPSCh. 1.5 - Prob. 23PPSCh. 1.5 - Prob. 24PPSCh. 1.5 - Prob. 25PPSCh. 1.5 - Prob. 26PPSCh. 1.5 - Prob. 27PPSCh. 1.5 - Prob. 28PPSCh. 1.5 - Prob. 29PPSCh. 1.5 - Prob. 30PPSCh. 1.5 - Prob. 31PPSCh. 1.5 - Prob. 32PPSCh. 1.5 - Prob. 33PPSCh. 1.5 - Prob. 34PPSCh. 1.5 - Prob. 37PPSCh. 1.5 - Prob. 38PPSCh. 1.5 - Prob. 39PPSCh. 1.5 - Prob. 40PPSCh. 1.5 - Prob. 41PPSCh. 1.5 - Prob. 42PPSCh. 1.5 - Prob. 43PPSCh. 1.5 - Prob. 44PPSCh. 1.5 - Prob. 45PPSCh. 1.5 - Prob. 46PPSCh. 1.5 - Prob. 48PPSCh. 1.5 - Prob. 49PPSCh. 1.5 - Prob. 50PPSCh. 1.5 - Prob. 51PPSCh. 1.5 - Prob. 52PPSCh. 1.5 - Prob. 53PPSCh. 1.5 - Prob. 54PPSCh. 1.5 - Prob. 55PPSCh. 1.5 - Prob. 56PPSCh. 1.5 - Prob. 57PPSCh. 1.5 - Prob. 58PPSCh. 1.5 - Prob. 59PPSCh. 1.5 - Prob. 60PPSCh. 1.5 - Prob. 67HPCh. 1.5 - Prob. 68HPCh. 1.5 - Prob. 69HPCh. 1.5 - Prob. 72STPCh. 1.5 - Prob. 74STPCh. 1.5 - Prob. 75SRCh. 1.5 - Prob. 76SRCh. 1.5 - Prob. 77SRCh. 1.5 - Prob. 78SRCh. 1.5 - Prob. 80SRCh. 1.5 - Prob. 81SRCh. 1.5 - Prob. 82SRCh. 1.5 - Prob. 85SCh. 1.5 - Prob. 86SCh. 1.5 - Prob. 87SCh. 1.5 - Prob. 88SCh. 1.5 - Prob. 89SCh. 1.5 - Prob. 90SCh. 1.5 - Prob. 63PPSCh. 1.5 - Prob. 73STPCh. 1.5 - Prob. 79SRCh. 1.5 - Prob. 83SRCh. 1.5 - Prob. 84SRCh. 1.5 - Prob. 5CYPCh. 1.5 - Prob. 10CYUCh. 1.5 - Prob. 35PPSCh. 1.5 - Prob. 36PPSCh. 1.5 - Prob. 47PPSCh. 1.5 - Prob. 61PPSCh. 1.5 - Prob. 62PPSCh. 1.5 - Prob. 64HPCh. 1.5 - Prob. 65HPCh. 1.5 - Prob. 66HPCh. 1.5 - Prob. 70HPCh. 1.5 - Prob. 71STPCh. 1.6 - Prob. 9PPSCh. 1.6 - Prob. 10PPSCh. 1.6 - Prob. 11PPSCh. 1.6 - Prob. 12PPSCh. 1.6 - Prob. 13PPSCh. 1.6 - Prob. 14PPSCh. 1.6 - Prob. 1CYUCh. 1.6 - Prob. 2CYUCh. 1.6 - Prob. 3CYUCh. 1.6 - Prob. 5CYUCh. 1.6 - Prob. 6CYUCh. 1.6 - Prob. 7CYUCh. 1.6 - Prob. 15PPSCh. 1.6 - Prob. 27PPSCh. 1.6 - Prob. 28PPSCh. 1.6 - Prob. 29PPSCh. 1.6 - 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Prob. 60SCh. 1.7 - Prob. 21PPSCh. 1.7 - Prob. 22PPSCh. 1.7 - Prob. 23PPSCh. 1.7 - Prob. 24PPSCh. 1.7 - Prob. 25PPSCh. 1.7 - Prob. 27PPSCh. 1.7 - Prob. 28PPSCh. 1.7 - Prob. 29PPSCh. 1.7 - Prob. 30PPSCh. 1.7 - Prob. 31PPSCh. 1.7 - Prob. 32PPSCh. 1.7 - Prob. 33PPSCh. 1.7 - Prob. 34PPSCh. 1.7 - Prob. 35PPSCh. 1.7 - Prob. 36PPSCh. 1.7 - Prob. 37PPSCh. 1.7 - Prob. 38PPSCh. 1.7 - Prob. 39PPSCh. 1.7 - Prob. 40PPSCh. 1.7 - Prob. 41PPSCh. 1.7 - Prob. 42PPSCh. 1.7 - Prob. 43PPSCh. 1.7 - Prob. 44PPSCh. 1.7 - Prob. 46PPSCh. 1.7 - Prob. 47PPSCh. 1.7 - Prob. 1CYUCh. 1.7 - Prob. 2CYUCh. 1.7 - Prob. 3CYUCh. 1.7 - Prob. 5CYUCh. 1.7 - Prob. 6CYUCh. 1.7 - Prob. 7CYUCh. 1.7 - Prob. 8CYUCh. 1.7 - Prob. 11CYUCh. 1.7 - Prob. 12CYUCh. 1.7 - Prob. 13CYUCh. 1.7 - Prob. 14CYUCh. 1.7 - Prob. 15CYUCh. 1.7 - Prob. 16CYUCh. 1.7 - Prob. 17CYUCh. 1.7 - Prob. 18CYUCh. 1.7 - Prob. 19CYUCh. 1.7 - Prob. 49HPCh. 1.7 - Prob. 50HPCh. 1.7 - Prob. 51HPCh. 1.7 - Prob. 53HPCh. 1.7 - Prob. 1CYPCh. 1.7 - Prob. 2ACYPCh. 1.7 - Prob. 2BCYPCh. 1.7 - 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Prob. 8CYUCh. 1.8 - Prob. 9CYUCh. 1.8 - Prob. 10CYUCh. 1.8 - Prob. 11CYUCh. 1.8 - Prob. 14PPSCh. 1.8 - Prob. 15PPSCh. 1.8 - Prob. 16PPSCh. 1.8 - Prob. 17PPSCh. 1.8 - Prob. 18PPSCh. 1.8 - Prob. 19PPSCh. 1.8 - Prob. 20PPSCh. 1.8 - Prob. 21PPSCh. 1.8 - Prob. 27PPSCh. 1.8 - Prob. 28PPSCh. 1.8 - Prob. 29PPSCh. 1.8 - Prob. 30PPSCh. 1.8 - Prob. 31PPSCh. 1.8 - Prob. 42PPSCh. 1.8 - Prob. 43PPSCh. 1.8 - Prob. 44PPSCh. 1.8 - Prob. 45HPCh. 1.8 - Prob. 46HPCh. 1.8 - Prob. 47HPCh. 1.8 - Prob. 48HPCh. 1.8 - Prob. 49HPCh. 1.8 - Prob. 50HPCh. 1.8 - Prob. 51STPCh. 1.8 - Prob. 52STPCh. 1.8 - Prob. 53STPCh. 1.8 - Prob. 54STPCh. 1.8 - Prob. 55SRCh. 1.8 - Prob. 56SRCh. 1.8 - Prob. 57SRCh. 1.8 - Prob. 58SRCh. 1.8 - Prob. 59SRCh. 1.8 - Prob. 60SRCh. 1.8 - Prob. 61SRCh. 1.8 - Prob. 62SCh. 1.8 - Prob. 63SCh. 1.8 - Prob. 64SCh. 1.8 - Prob. 65SCh. 1.8 - Prob. 66SCh. 1.8 - Prob. 67SCh. 1.8 - Prob. 1ACYPCh. 1.8 - Prob. 1BCYPCh. 1.8 - Prob. 2ACYPCh. 1.8 - Prob. 2BCYPCh. 1.8 - Prob. 3ACYPCh. 1.8 - Prob. 3BCYPCh. 1.8 - Prob. 1CYUCh. 1.8 - Prob. 2CYUCh. 1.8 - Prob. 3CYUCh. 1.8 - Prob. 22PPSCh. 1.8 - Prob. 23PPSCh. 1.8 - Prob. 24PPSCh. 1.8 - Prob. 25PPSCh. 1.8 - Prob. 26PPSCh. 1.8 - Prob. 32PPSCh. 1.8 - Prob. 33PPSCh. 1.8 - Prob. 34PPSCh. 1.8 - Prob. 35PPSCh. 1.8 - Prob. 36PPSCh. 1.8 - Prob. 37PPSCh. 1.8 - Prob. 38PPSCh. 1.8 - Prob. 39PPSCh. 1.8 - Prob. 40PPSCh. 1 - Prob. 9SGRCh. 1 - Prob. 10SGRCh. 1 - Prob. 12SGRCh. 1 - Prob. 13SGRCh. 1 - Prob. 14SGRCh. 1 - Prob. 15SGRCh. 1 - Prob. 16SGRCh. 1 - Prob. 59SGRCh. 1 - Prob. 60SGRCh. 1 - Prob. 72SGRCh. 1 - Prob. 73SGRCh. 1 - Prob. 74SGRCh. 1 - Prob. 12PTCh. 1 - Prob. 1QCCh. 1 - Prob. 2QCCh. 1 - Prob. 3QCCh. 1 - Prob. 4QCCh. 1 - Prob. 5QCCh. 1 - Prob. 6QCCh. 1 - Prob. 7QCCh. 1 - Prob. 8QCCh. 1 - Prob. 9QCCh. 1 - Prob. 10QCCh. 1 - Prob. 11QCCh. 1 - Prob. 12QCCh. 1 - Prob. 13QCCh. 1 - Prob. 14QCCh. 1 - Prob. 15QCCh. 1 - Prob. 16QCCh. 1 - Prob. 17QCCh. 1 - Prob. 18QCCh. 1 - Prob. 19QCCh. 1 - Prob. 20QCCh. 1 - Prob. 1MCQCh. 1 - Prob. 3MCQCh. 1 - Prob. 11MCQCh. 1 - Prob. 12MCQCh. 1 - Prob. 2MCQCh. 1 - Prob. 4MCQCh. 1 - Prob. 6MCQCh. 1 - Prob. 7MCQCh. 1 - Prob. 8MCQCh. 1 - Prob. 9MCQCh. 1 - Prob. 10MCQCh. 1 - Prob. 13MCQCh. 1 - Prob. 14MCQCh. 1 - Prob. 15MCQCh. 1 - Prob. 16MCQCh. 1 - Prob. 17MCQCh. 1 - Prob. 18MCQCh. 1 - Prob. 19MCQCh. 1 - Prob. 20MCQCh. 1 - Prob. 21MCQCh. 1 - Prob. 22MCQCh. 1 - Prob. 23MCQCh. 1 - Prob. 25MCQCh. 1 - Prob. 1SGRCh. 1 - Prob. 3SGRCh. 1 - Prob. 4SGRCh. 1 - Prob. 8SGRCh. 1 - Prob. 11SGRCh. 1 - Prob. 19SGRCh. 1 - Prob. 21SGRCh. 1 - Prob. 22SGRCh. 1 - Prob. 23SGRCh. 1 - Prob. 24SGRCh. 1 - Prob. 25SGRCh. 1 - Prob. 26SGRCh. 1 - Prob. 28SGRCh. 1 - Prob. 29SGRCh. 1 - Prob. 30SGRCh. 1 - Prob. 31SGRCh. 1 - Prob. 32SGRCh. 1 - Prob. 33SGRCh. 1 - Prob. 34SGRCh. 1 - Prob. 35SGRCh. 1 - Prob. 37SGRCh. 1 - Prob. 38SGRCh. 1 - Prob. 39SGRCh. 1 - Prob. 40SGRCh. 1 - Prob. 41SGRCh. 1 - Prob. 42SGRCh. 1 - Prob. 43SGRCh. 1 - Prob. 44SGRCh. 1 - Prob. 45SGRCh. 1 - Prob. 46SGRCh. 1 - Prob. 47SGRCh. 1 - Prob. 48SGRCh. 1 - Prob. 61SGRCh. 1 - Prob. 63SGRCh. 1 - Prob. 65SGRCh. 1 - Prob. 67SGRCh. 1 - Prob. 68SGRCh. 1 - Prob. 69SGRCh. 1 - Prob. 70SGRCh. 1 - Prob. 71SGRCh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 7PTCh. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 5MCQCh. 1 - Prob. 2SGRCh. 1 - Prob. 18SGRCh. 1 - Prob. 20SGRCh. 1 - Prob. 49SGRCh. 1 - Prob. 64SGRCh. 1 - Prob. 6PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 24MCQCh. 1 - Prob. 17SGRCh. 1 - Prob. 27SGRCh. 1 - Prob. 36SGRCh. 1 - Prob. 50SGRCh. 1 - Prob. 51SGRCh. 1 - Prob. 52SGRCh. 1 - Prob. 53SGRCh. 1 - Prob. 54SGRCh. 1 - Prob. 55SGRCh. 1 - Prob. 56SGRCh. 1 - Prob. 57SGRCh. 1 - Prob. 58SGRCh. 1 - Prob. 62SGRCh. 1 - Prob. 66SGRCh. 1 - Prob. 75SGRCh. 1 - Prob. 76SGRCh. 1 - Prob. 77SGRCh. 1 - Prob. 78SGRCh. 1 - Prob. 79SGRCh. 1 - Prob. 13PTCh. 1 - Prob. 14PTCh. 1 - Prob. 15PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 1STPCh. 1 - Prob. 2STPCh. 1 - Prob. 3STPCh. 1 - Prob. 4STPCh. 1 - Prob. 8STPCh. 1 - Prob. 9STPCh. 1 - Prob. 10STPCh. 1 - Prob. 11STPCh. 1 - Prob. 12STPCh. 1 - Prob. 5SGRCh. 1 - Prob. 6SGRCh. 1 - Prob. 7SGRCh. 1 - Prob. 5STPCh. 1 - Prob. 6STPCh. 1 - Prob. 7STP

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