Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
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
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
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
Book Icon
Chapter 8.1, Problem 46HP
To determine

To calculate: To draw two graphs and explain why each graph is or is not a function.

Expert Solution & Answer
Check Mark

Answer to Problem 46HP

The set of ordered pairs is a function

Explanation of Solution

Given information: Two graphs − one that represents a relation that is a function and one that represents a relation that is Not a function

Formula Used:

Vertical line test: Given a graph, if one draw a vertical line that crosses the graph in more than one place, the relation is not a function, while if the vertical line crosses the graph only at one point, then the relation is a function

Calculation:

The graph that represent a relation that is a function is as follows:

  Pre-Algebra Student Edition, Chapter 8.1, Problem 46HP , additional homework tip 1

According to vertical line test, when a vertical line is drawn, it will cross the graph at only one place. Hence the graph is a function

The graph that represent a relation that is NOT a function is as follows:

  Pre-Algebra Student Edition, Chapter 8.1, Problem 46HP , additional homework tip 2

According to vertical line test, when a vertical line is drawn, it will cross the graph in two places. Hence the graph is not a function

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Chapter 8.1, Problem 45HP
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Chapter 8.1, Problem 47STP

Chapter 8 Solutions

Pre-Algebra Student Edition

Ch. 8.1 - Prob. 1AGPCh. 8.1 - Prob. 1BGPCh. 8.1 - Prob. 2GPCh. 8.1 - Prob. 3AGPCh. 8.1 - Prob. 3BGPCh. 8.1 - Prob. 4AGPCh. 8.1 - Prob. 4BGPCh. 8.1 - Prob. 1CYUCh. 8.1 - Prob. 2CYUCh. 8.1 - Prob. 3CYU
Ch. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7CYUCh. 8.1 - Prob. 8CYUCh. 8.1 - Prob. 9CYUCh. 8.1 - Prob. 10PPSCh. 8.1 - Prob. 11PPSCh. 8.1 - Prob. 12PPSCh. 8.1 - Prob. 13PPSCh. 8.1 - Prob. 14PPSCh. 8.1 - Prob. 15PPSCh. 8.1 - Prob. 16PPSCh. 8.1 - Prob. 17PPSCh. 8.1 - Prob. 18PPSCh. 8.1 - Prob. 19PPSCh. 8.1 - Prob. 20PPSCh. 8.1 - Prob. 21PPSCh. 8.1 - Prob. 22PPSCh. 8.1 - Prob. 23PPSCh. 8.1 - Prob. 24PPSCh. 8.1 - Prob. 25PPSCh. 8.1 - Prob. 26PPSCh. 8.1 - Prob. 27PPSCh. 8.1 - Prob. 28PPSCh. 8.1 - Prob. 29PPSCh. 8.1 - Prob. 30PPSCh. 8.1 - Prob. 31PPSCh. 8.1 - Prob. 32PPSCh. 8.1 - Prob. 33PPSCh. 8.1 - Prob. 34PPSCh. 8.1 - Prob. 35PPSCh. 8.1 - Prob. 36PPSCh. 8.1 - Prob. 37PPSCh. 8.1 - Prob. 38HPCh. 8.1 - Prob. 39HPCh. 8.1 - Prob. 40HPCh. 8.1 - Prob. 41HPCh. 8.1 - Prob. 42HPCh. 8.1 - Prob. 43HPCh. 8.1 - Prob. 44HPCh. 8.1 - Prob. 45HPCh. 8.1 - Prob. 46HPCh. 8.1 - Prob. 47STPCh. 8.1 - Prob. 48STPCh. 8.1 - Prob. 49STPCh. 8.1 - Prob. 50STPCh. 8.1 - Prob. 51SRCh. 8.1 - Prob. 52SRCh. 8.1 - Prob. 53SRCh. 8.1 - Prob. 54SRCh. 8.1 - Prob. 55SRCh. 8.1 - Prob. 56SRCh. 8.1 - Prob. 57SRCh. 8.1 - Prob. 58SRCh. 8.1 - Prob. 59SRCh. 8.1 - Prob. 60SRCh. 8.1 - Prob. 61SCh. 8.1 - Prob. 62SCh. 8.1 - Prob. 63SCh. 8.1 - Prob. 64SCh. 8.2 - Prob. 1AGPCh. 8.2 - Prob. 1BGPCh. 8.2 - Prob. 2GPCh. 8.2 - Prob. 3GPCh. 8.2 - Prob. 1CYUCh. 8.2 - Prob. 2CYUCh. 8.2 - Prob. 3CYUCh. 8.2 - Prob. 4CYUCh. 8.2 - Prob. 5CYUCh. 8.2 - Prob. 6CYUCh. 8.2 - Prob. 7CYUCh. 8.2 - Prob. 8CYUCh. 8.2 - Prob. 9CYUCh. 8.2 - Prob. 10PPSCh. 8.2 - Prob. 11PPSCh. 8.2 - Prob. 12PPSCh. 8.2 - Prob. 13PPSCh. 8.2 - Prob. 14PPSCh. 8.2 - Prob. 15PPSCh. 8.2 - Prob. 16PPSCh. 8.2 - Prob. 17PPSCh. 8.2 - Prob. 18PPSCh. 8.2 - Prob. 19PPSCh. 8.2 - Prob. 20PPSCh. 8.2 - Prob. 21PPSCh. 8.2 - Prob. 22PPSCh. 8.2 - Prob. 23PPSCh. 8.2 - Prob. 24PPSCh. 8.2 - Prob. 25PPSCh. 8.2 - Prob. 26PPSCh. 8.2 - Prob. 27PPSCh. 8.2 - Prob. 28PPSCh. 8.2 - Prob. 29PPSCh. 8.2 - Prob. 30PPSCh. 8.2 - Prob. 31PPSCh. 8.2 - Prob. 32PPSCh. 8.2 - Prob. 33PPSCh. 8.2 - Prob. 34PPSCh. 8.2 - Prob. 35PPSCh. 8.2 - Prob. 36PPSCh. 8.2 - Prob. 37HPCh. 8.2 - Prob. 38HPCh. 8.2 - Prob. 39HPCh. 8.2 - Prob. 40HPCh. 8.2 - Prob. 41HPCh. 8.2 - Prob. 42STPCh. 8.2 - Prob. 43STPCh. 8.2 - Prob. 44STPCh. 8.2 - Prob. 45STPCh. 8.2 - Prob. 46SRCh. 8.2 - Prob. 47SRCh. 8.2 - Prob. 48SRCh. 8.2 - Prob. 49SCh. 8.2 - Prob. 50SCh. 8.2 - Prob. 51SCh. 8.2 - Prob. 52SCh. 8.3 - Prob. 1AGPCh. 8.3 - Prob. 1BGPCh. 8.3 - Prob. 1CGPCh. 8.3 - Prob. 1DGPCh. 8.3 - Prob. 2GPCh. 8.3 - Prob. 3AGPCh. 8.3 - Prob. 3BGPCh. 8.3 - Prob. 1CYUCh. 8.3 - Prob. 2CYUCh. 8.3 - Prob. 3CYUCh. 8.3 - Prob. 4CYUCh. 8.3 - Prob. 5CYUCh. 8.3 - Prob. 6CYUCh. 8.3 - Prob. 7CYUCh. 8.3 - Prob. 8CYUCh. 8.3 - Prob. 9CYUCh. 8.3 - Prob. 10CYUCh. 8.3 - Prob. 11CYUCh. 8.3 - Prob. 12PPSCh. 8.3 - Prob. 13PPSCh. 8.3 - Prob. 14PPSCh. 8.3 - Prob. 15PPSCh. 8.3 - Prob. 16PPSCh. 8.3 - Prob. 17PPSCh. 8.3 - Prob. 18PPSCh. 8.3 - Prob. 19PPSCh. 8.3 - Prob. 20PPSCh. 8.3 - Prob. 21PPSCh. 8.3 - Prob. 22PPSCh. 8.3 - Prob. 23PPSCh. 8.3 - Prob. 24PPSCh. 8.3 - Prob. 25PPSCh. 8.3 - Prob. 26PPSCh. 8.3 - Prob. 27PPSCh. 8.3 - Prob. 28PPSCh. 8.3 - Prob. 29PPSCh. 8.3 - Prob. 30PPSCh. 8.3 - Prob. 31PPSCh. 8.3 - Prob. 32PPSCh. 8.3 - Prob. 33PPSCh. 8.3 - Prob. 34PPSCh. 8.3 - Prob. 35PPSCh. 8.3 - Prob. 36PPSCh. 8.3 - Prob. 37HPCh. 8.3 - Prob. 38HPCh. 8.3 - Prob. 39HPCh. 8.3 - Prob. 40HPCh. 8.3 - Prob. 41HPCh. 8.3 - Prob. 42STPCh. 8.3 - Prob. 43STPCh. 8.3 - Prob. 44STPCh. 8.3 - Prob. 45STPCh. 8.3 - Prob. 46SRCh. 8.3 - Prob. 47SRCh. 8.3 - Prob. 48SRCh. 8.3 - Prob. 49SRCh. 8.3 - Prob. 50SRCh. 8.3 - Prob. 51SCh. 8.3 - Prob. 52SCh. 8.3 - Prob. 53SCh. 8.4 - Prob. 1GPCh. 8.4 - Prob. 2GPCh. 8.4 - Prob. 3GPCh. 8.4 - Prob. 4GPCh. 8.4 - Prob. 1CYUCh. 8.4 - Prob. 2CYUCh. 8.4 - Prob. 3CYUCh. 8.4 - Prob. 4CYUCh. 8.4 - Prob. 5PPSCh. 8.4 - Prob. 6PPSCh. 8.4 - Prob. 7PPSCh. 8.4 - Prob. 8PPSCh. 8.4 - Prob. 9PPSCh. 8.4 - Prob. 10PPSCh. 8.4 - Prob. 11PPSCh. 8.4 - Prob. 12PPSCh. 8.4 - Prob. 13PPSCh. 8.4 - Prob. 14HPCh. 8.4 - Prob. 15HPCh. 8.4 - Prob. 16HPCh. 8.4 - Prob. 17HPCh. 8.4 - Prob. 18HPCh. 8.4 - Prob. 19STPCh. 8.4 - Prob. 20STPCh. 8.4 - Prob. 21STPCh. 8.4 - Prob. 22STPCh. 8.4 - Prob. 23SRCh. 8.4 - Prob. 24SRCh. 8.4 - Prob. 25SRCh. 8.4 - Prob. 26SRCh. 8.4 - Prob. 27SRCh. 8.4 - Prob. 28SRCh. 8.4 - Prob. 29SRCh. 8.4 - Prob. 30SRCh. 8.4 - Prob. 31SRCh. 8.4 - Prob. 32SCh. 8.4 - Prob. 33SCh. 8.4 - Prob. 34SCh. 8.4 - Prob. 35SCh. 8.5 - Prob. 1GPCh. 8.5 - Prob. 2GPCh. 8.5 - Prob. 3GPCh. 8.5 - Prob. 1CYUCh. 8.5 - Prob. 2CYUCh. 8.5 - Prob. 3CYUCh. 8.5 - Prob. 4PPSCh. 8.5 - Prob. 5PPSCh. 8.5 - Prob. 6PPSCh. 8.5 - Prob. 7PPSCh. 8.5 - Prob. 8PPSCh. 8.5 - Prob. 9PPSCh. 8.5 - Prob. 10PPSCh. 8.5 - Prob. 11PPSCh. 8.5 - Prob. 12PPSCh. 8.5 - Prob. 13PPSCh. 8.5 - Prob. 14HPCh. 8.5 - Prob. 15HPCh. 8.5 - Prob. 16HPCh. 8.5 - Prob. 17HPCh. 8.5 - Prob. 18HPCh. 8.5 - Prob. 19STPCh. 8.5 - Prob. 20STPCh. 8.5 - Prob. 21STPCh. 8.5 - Prob. 22STPCh. 8.5 - Prob. 23SRCh. 8.5 - Prob. 24SRCh. 8.5 - Prob. 25SRCh. 8.5 - Prob. 26SRCh. 8.5 - Prob. 27SCh. 8.5 - Prob. 28SCh. 8.5 - Prob. 29SCh. 8.5 - Prob. 30SCh. 8.6 - Prob. 1AGPCh. 8.6 - Prob. 1BGPCh. 8.6 - Prob. 2AGPCh. 8.6 - Prob. 2BGPCh. 8.6 - Prob. 3AGPCh. 8.6 - Prob. 3BGPCh. 8.6 - Prob. 4AGPCh. 8.6 - Prob. 4BGPCh. 8.6 - Prob. 1CYUCh. 8.6 - Prob. 2CYUCh. 8.6 - Prob. 3CYUCh. 8.6 - Prob. 4CYUCh. 8.6 - Prob. 5CYUCh. 8.6 - Prob. 6CYUCh. 8.6 - Prob. 7CYUCh. 8.6 - Prob. 8PPSCh. 8.6 - Prob. 9PPSCh. 8.6 - Prob. 10PPSCh. 8.6 - Prob. 11PPSCh. 8.6 - Prob. 12PPSCh. 8.6 - Prob. 13PPSCh. 8.6 - Prob. 14PPSCh. 8.6 - Prob. 15PPSCh. 8.6 - Prob. 16PPSCh. 8.6 - Prob. 17PPSCh. 8.6 - Prob. 18PPSCh. 8.6 - Prob. 19PPSCh. 8.6 - Prob. 20PPSCh. 8.6 - Prob. 21HPCh. 8.6 - Prob. 22HPCh. 8.6 - Prob. 23HPCh. 8.6 - Prob. 24HPCh. 8.6 - Prob. 25STPCh. 8.6 - Prob. 26STPCh. 8.6 - Prob. 27STPCh. 8.6 - Prob. 28STPCh. 8.6 - Prob. 29SRCh. 8.6 - Prob. 30SRCh. 8.6 - Prob. 31SRCh. 8.6 - Prob. 32SRCh. 8.6 - Prob. 33SRCh. 8.6 - Prob. 34SCh. 8.6 - Prob. 35SCh. 8.6 - Prob. 36SCh. 8.6 - Prob. 37SCh. 8.7 - Prob. 1AGPCh. 8.7 - Prob. 1BGPCh. 8.7 - Prob. 2AGPCh. 8.7 - Prob. 2BGPCh. 8.7 - Prob. 2CGPCh. 8.7 - Prob. 2DGPCh. 8.7 - Prob. 3GPCh. 8.7 - Prob. 4GPCh. 8.7 - Prob. 1CYUCh. 8.7 - Prob. 2CYUCh. 8.7 - Prob. 3CYUCh. 8.7 - Prob. 4CYUCh. 8.7 - Prob. 5CYUCh. 8.7 - Prob. 6CYUCh. 8.7 - Prob. 7CYUCh. 8.7 - Prob. 8CYUCh. 8.7 - Prob. 9CYUCh. 8.7 - Prob. 10PPSCh. 8.7 - Prob. 11PPSCh. 8.7 - Prob. 12PPSCh. 8.7 - Prob. 13PPSCh. 8.7 - Prob. 14PPSCh. 8.7 - Prob. 15PPSCh. 8.7 - Prob. 16PPSCh. 8.7 - Prob. 17PPSCh. 8.7 - Prob. 18PPSCh. 8.7 - Prob. 19PPSCh. 8.7 - Prob. 20PPSCh. 8.7 - Prob. 21PPSCh. 8.7 - Prob. 22PPSCh. 8.7 - Prob. 23PPSCh. 8.7 - Prob. 24PPSCh. 8.7 - Prob. 25PPSCh. 8.7 - Prob. 26PPSCh. 8.7 - Prob. 27PPSCh. 8.7 - Prob. 28PPSCh. 8.7 - Prob. 29PPSCh. 8.7 - Prob. 30PPSCh. 8.7 - Prob. 31PPSCh. 8.7 - Prob. 32PPSCh. 8.7 - Prob. 33PPSCh. 8.7 - Prob. 34PPSCh. 8.7 - Prob. 35PPSCh. 8.7 - Prob. 36HPCh. 8.7 - Prob. 37HPCh. 8.7 - Prob. 38HPCh. 8.7 - Prob. 39HPCh. 8.7 - Prob. 40HPCh. 8.7 - Prob. 41HPCh. 8.7 - Prob. 42STPCh. 8.7 - Prob. 43STPCh. 8.7 - Prob. 44STPCh. 8.7 - Prob. 45STPCh. 8.7 - Prob. 46SRCh. 8.7 - Prob. 47SRCh. 8.7 - Prob. 48SRCh. 8.7 - Prob. 49SRCh. 8.7 - Prob. 50SRCh. 8.7 - Prob. 51SCh. 8.7 - Prob. 52SCh. 8.7 - Prob. 53SCh. 8.7 - Prob. 54SCh. 8.7 - Prob. 55SCh. 8.7 - Prob. 56SCh. 8.8 - Prob. 1AGPCh. 8.8 - Prob. 1BGPCh. 8.8 - Prob. 2GPCh. 8.8 - Prob. 3GPCh. 8.8 - Prob. 4GPCh. 8.8 - Prob. 1CYUCh. 8.8 - Prob. 2CYUCh. 8.8 - Prob. 3CYUCh. 8.8 - Prob. 4CYUCh. 8.8 - Prob. 5CYUCh. 8.8 - Prob. 6CYUCh. 8.8 - Prob. 7CYUCh. 8.8 - Prob. 8CYUCh. 8.8 - Prob. 9CYUCh. 8.8 - Prob. 10CYUCh. 8.8 - Prob. 11CYUCh. 8.8 - Prob. 12CYUCh. 8.8 - Prob. 13CYUCh. 8.8 - Prob. 14PPSCh. 8.8 - Prob. 15PPSCh. 8.8 - Prob. 16PPSCh. 8.8 - Prob. 17PPSCh. 8.8 - Prob. 18PPSCh. 8.8 - Prob. 19PPSCh. 8.8 - Prob. 20PPSCh. 8.8 - Prob. 21PPSCh. 8.8 - Prob. 22PPSCh. 8.8 - Prob. 23PPSCh. 8.8 - Prob. 24PPSCh. 8.8 - Prob. 25PPSCh. 8.8 - Prob. 26PPSCh. 8.8 - Prob. 27PPSCh. 8.8 - Prob. 28PPSCh. 8.8 - Prob. 29PPSCh. 8.8 - Prob. 30PPSCh. 8.8 - Prob. 31PPSCh. 8.8 - Prob. 32PPSCh. 8.8 - Prob. 33PPSCh. 8.8 - Prob. 34PPSCh. 8.8 - Prob. 35PPSCh. 8.8 - Prob. 36PPSCh. 8.8 - Prob. 37PPSCh. 8.8 - Prob. 38PPSCh. 8.8 - Prob. 39PPSCh. 8.8 - Prob. 40PPSCh. 8.8 - Prob. 41PPSCh. 8.8 - Prob. 42PPSCh. 8.8 - Prob. 43HPCh. 8.8 - Prob. 44HPCh. 8.8 - Prob. 45HPCh. 8.8 - Prob. 46HPCh. 8.8 - Prob. 47HPCh. 8.8 - Prob. 48STPCh. 8.8 - Prob. 49STPCh. 8.8 - Prob. 50STPCh. 8.8 - Prob. 51STPCh. 8.8 - Prob. 52SRCh. 8.8 - Prob. 53SRCh. 8.8 - Prob. 54SRCh. 8.8 - Prob. 55SRCh. 8.8 - Prob. 56SRCh. 8.8 - Prob. 57SRCh. 8.8 - Prob. 58SCh. 8.8 - Prob. 59SCh. 8.8 - Prob. 60SCh. 8.9 - Prob. 1GPCh. 8.9 - Prob. 2GPCh. 8.9 - Prob. 1CYUCh. 8.9 - Prob. 2CYUCh. 8.9 - Prob. 3PPSCh. 8.9 - Prob. 4PPSCh. 8.9 - Prob. 5PPSCh. 8.9 - Prob. 6PPSCh. 8.9 - Prob. 7PPSCh. 8.9 - Prob. 8HPCh. 8.9 - Prob. 9HPCh. 8.9 - Prob. 10HPCh. 8.9 - Prob. 11HPCh. 8.9 - Prob. 12HPCh. 8.9 - Prob. 13STPCh. 8.9 - Prob. 14STPCh. 8.9 - Prob. 15STPCh. 8.9 - Prob. 16STPCh. 8.9 - Prob. 17STPCh. 8.9 - Prob. 18SRCh. 8.9 - Prob. 19SRCh. 8.9 - Prob. 20SRCh. 8.9 - Prob. 21SRCh. 8.9 - Prob. 22SRCh. 8.9 - Prob. 23SCh. 8.9 - Prob. 24SCh. 8.9 - Prob. 25SCh. 8.10 - Prob. 1GPCh. 8.10 - Prob. 2GPCh. 8.10 - Prob. 3AGPCh. 8.10 - Prob. 3BGPCh. 8.10 - Prob. 4AGPCh. 8.10 - Prob. 4BGPCh. 8.10 - Prob. 1CYUCh. 8.10 - Prob. 2CYUCh. 8.10 - Prob. 3CYUCh. 8.10 - Prob. 4CYUCh. 8.10 - Prob. 5CYUCh. 8.10 - Prob. 6CYUCh. 8.10 - Prob. 7CYUCh. 8.10 - Prob. 8PPSCh. 8.10 - Prob. 9PPSCh. 8.10 - Prob. 10PPSCh. 8.10 - Prob. 11PPSCh. 8.10 - Prob. 12PPSCh. 8.10 - Prob. 13PPSCh. 8.10 - Prob. 14PPSCh. 8.10 - Prob. 15PPSCh. 8.10 - Prob. 16PPSCh. 8.10 - Prob. 17PPSCh. 8.10 - Prob. 18PPSCh. 8.10 - Prob. 19PPSCh. 8.10 - Prob. 20PPSCh. 8.10 - Prob. 21PPSCh. 8.10 - Prob. 22PPSCh. 8.10 - Prob. 23HPCh. 8.10 - Prob. 24HPCh. 8.10 - Prob. 25HPCh. 8.10 - Prob. 26HPCh. 8.10 - Prob. 27HPCh. 8.10 - Prob. 28HPCh. 8.10 - Prob. 29HPCh. 8.10 - Prob. 30STPCh. 8.10 - Prob. 31STPCh. 8.10 - Prob. 32STPCh. 8.10 - Prob. 33STPCh. 8.10 - Prob. 34SRCh. 8.10 - Prob. 35SRCh. 8.10 - Prob. 36SRCh. 8.10 - Prob. 37SCh. 8.10 - Prob. 38SCh. 8.10 - Prob. 39SCh. 8.10 - Prob. 40SCh. 8 - Prob. 1QCCh. 8 - Prob. 2QCCh. 8 - Prob. 3QCCh. 8 - Prob. 4QCCh. 8 - Prob. 5QCCh. 8 - Prob. 6QCCh. 8 - Prob. 7QCCh. 8 - Prob. 8QCCh. 8 - Prob. 9QCCh. 8 - Prob. 10QCCh. 8 - Prob. 11QCCh. 8 - Prob. 12QCCh. 8 - Prob. 1MCQCh. 8 - Prob. 2MCQCh. 8 - Prob. 3MCQCh. 8 - Prob. 4MCQCh. 8 - Prob. 5MCQCh. 8 - Prob. 6MCQCh. 8 - Prob. 7MCQCh. 8 - Prob. 8MCQCh. 8 - Prob. 9MCQCh. 8 - Prob. 10MCQCh. 8 - Prob. 11MCQCh. 8 - Prob. 12MCQCh. 8 - Prob. 13MCQCh. 8 - Prob. 14MCQCh. 8 - Prob. 15MCQCh. 8 - Prob. 16MCQCh. 8 - Prob. 17MCQCh. 8 - Prob. 18MCQCh. 8 - Prob. 19MCQCh. 8 - Prob. 20MCQCh. 8 - Prob. 21MCQCh. 8 - Prob. 22MCQCh. 8 - Prob. 23MCQCh. 8 - Prob. 24MCQCh. 8 - Prob. 25MCQCh. 8 - Prob. 1SGRCh. 8 - Prob. 2SGRCh. 8 - Prob. 3SGRCh. 8 - Prob. 4SGRCh. 8 - Prob. 5SGRCh. 8 - Prob. 6SGRCh. 8 - Prob. 7SGRCh. 8 - Prob. 8SGRCh. 8 - Prob. 9SGRCh. 8 - Prob. 10SGRCh. 8 - Prob. 11SGRCh. 8 - Prob. 12SGRCh. 8 - Prob. 13SGRCh. 8 - Prob. 14SGRCh. 8 - Prob. 15SGRCh. 8 - Prob. 16SGRCh. 8 - Prob. 17SGRCh. 8 - Prob. 18SGRCh. 8 - Prob. 19SGRCh. 8 - Prob. 20SGRCh. 8 - Prob. 21SGRCh. 8 - Prob. 22SGRCh. 8 - Prob. 23SGRCh. 8 - Prob. 24SGRCh. 8 - Prob. 25SGRCh. 8 - Prob. 26SGRCh. 8 - Prob. 27SGRCh. 8 - Prob. 28SGRCh. 8 - Prob. 29SGRCh. 8 - Prob. 30SGRCh. 8 - Prob. 31SGRCh. 8 - Prob. 32SGRCh. 8 - Prob. 33SGRCh. 8 - Prob. 34SGRCh. 8 - Prob. 35SGRCh. 8 - Prob. 36SGRCh. 8 - Prob. 37SGRCh. 8 - Prob. 38SGRCh. 8 - Prob. 39SGRCh. 8 - Prob. 40SGRCh. 8 - Prob. 41SGRCh. 8 - Prob. 42SGRCh. 8 - Prob. 43SGRCh. 8 - Prob. 44SGRCh. 8 - Prob. 45SGRCh. 8 - Prob. 46SGRCh. 8 - Prob. 47SGRCh. 8 - Prob. 48SGRCh. 8 - Prob. 49SGRCh. 8 - Prob. 50SGRCh. 8 - Prob. 51SGRCh. 8 - Prob. 52SGRCh. 8 - Prob. 53SGRCh. 8 - Prob. 1PTCh. 8 - Prob. 2PTCh. 8 - Prob. 3PTCh. 8 - Prob. 4PTCh. 8 - Prob. 5PTCh. 8 - Prob. 6PTCh. 8 - Prob. 7PTCh. 8 - Prob. 8PTCh. 8 - Prob. 9PTCh. 8 - Prob. 10PTCh. 8 - Prob. 11PTCh. 8 - Prob. 12PTCh. 8 - Prob. 13PTCh. 8 - Prob. 14PTCh. 8 - Prob. 15PTCh. 8 - Prob. 16PTCh. 8 - Prob. 17PTCh. 8 - Prob. 18PTCh. 8 - Prob. 19PTCh. 8 - Prob. 20PTCh. 8 - Prob. 1ECh. 8 - Prob. 1STPCh. 8 - Prob. 2STPCh. 8 - Prob. 3STPCh. 8 - Prob. 4STPCh. 8 - Prob. 5STPCh. 8 - Prob. 6STPCh. 8 - Prob. 7STPCh. 8 - Prob. 8STPCh. 8 - Prob. 9STPCh. 8 - Prob. 10STPCh. 8 - Prob. 11STPCh. 8 - Prob. 12STPCh. 8 - Prob. 13STPCh. 8 - Prob. 14STPCh. 8 - Prob. 15STP

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