Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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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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Chapter 8.7, Problem 26PPS

(a)

To determine

To calculate: To state slope and y-intercept of the graph of the equation and describe what they represent

(a)

Expert Solution
Check Mark

Answer to Problem 26PPS

Slope is 32 and y-intercept is 15

Explanation of Solution

Given information: Sam has 15 teaspoons of chopped nuts. She uses 112 teaspoons for each muffin. The total amount of nuts that she has left y after x muffins can be given by y=−32x+15 . Graph of equation is

  Pre-Algebra, Student Edition, Chapter 8.7, Problem 26PPS , additional homework tip 1

Formula Used:

Slope intercept form of line is y=mx+c , where

  m= Slope of graph of equation

  c= y-intercept of graph of equation

Calculation:

Equation is given as

  y=−32x+15

Comparing the above equation to slope intercept form of line y=mx+c , slope and Y-intercept are

  m=−32c=15

Slope represents the rate at which teaspoons of chopped nut is used

Y-intercept represents the amount of teaspoons of chopped nuts

(b)

To determine

To calculate: To name the x-intercept and describe what it represents

(b)

Expert Solution
Check Mark

Answer to Problem 26PPS

x-intercept is (10,0)

Explanation of Solution

Given information: Sam has 15 teaspoons of chopped nuts. She uses 112 teaspoons for each muffin. The total amount of nuts that she has left y after x muffins can be given by y=−32x+15 . Graph of equation is

  Pre-Algebra, Student Edition, Chapter 8.7, Problem 26PPS , additional homework tip 2

Formula Used:

Slope intercept form of line is y=mx+c , where

  m= Slope of graph of equation

  c= y-intercept of graph of equation

Calculation:

Equation is given as

  y=−32x+15

In order to find x-intercept, put y=0 in the above equation

  0=−32x+1532x=15x=15×23x=5×2x=10

Hence, x-intercept is (10,0)

X-intercept represents number of muffins baked

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Chapter 8.7, Problem 25PPS
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Chapter 8.7, Problem 27PPS

Chapter 8 Solutions

Pre-Algebra, Student Edition

Ch. 8.1 - Prob. 1ACYPCh. 8.1 - Prob. 1BCYPCh. 8.1 - Prob. 2CYPCh. 8.1 - Prob. 3ACYPCh. 8.1 - Prob. 3BCYPCh. 8.1 - Prob. 4ACYPCh. 8.1 - Prob. 4BCYPCh. 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. 1ACYPCh. 8.2 - Prob. 1BCYPCh. 8.2 - Prob. 2CYPCh. 8.2 - Prob. 3CYPCh. 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. 1ACYPCh. 8.3 - Prob. 1BCYPCh. 8.3 - Prob. 1CCYPCh. 8.3 - Prob. 1DCYPCh. 8.3 - Prob. 2CYPCh. 8.3 - Prob. 3ACYPCh. 8.3 - Prob. 3BCYPCh. 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. 1CYPCh. 8.4 - Prob. 2CYPCh. 8.4 - Prob. 3CYPCh. 8.4 - Prob. 4CYPCh. 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. 1CYPCh. 8.5 - Prob. 2CYPCh. 8.5 - Prob. 3CYPCh. 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. 1ACYPCh. 8.6 - Prob. 1BCYPCh. 8.6 - Prob. 2ACYPCh. 8.6 - Prob. 2BCYPCh. 8.6 - Prob. 3ACYPCh. 8.6 - Prob. 3BCYPCh. 8.6 - Prob. 4ACYPCh. 8.6 - Prob. 4BCYPCh. 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. 1ACYPCh. 8.7 - Prob. 1BCYPCh. 8.7 - Prob. 2ACYPCh. 8.7 - Prob. 2BCYPCh. 8.7 - Prob. 2CCYPCh. 8.7 - Prob. 2DCYPCh. 8.7 - Prob. 3CYPCh. 8.7 - Prob. 4CYPCh. 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. 1ACYPCh. 8.8 - Prob. 1BCYPCh. 8.8 - Prob. 2CYPCh. 8.8 - Prob. 3CYPCh. 8.8 - Prob. 4CYPCh. 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. 1CYPCh. 8.9 - Prob. 2CYPCh. 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. 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. 1CYPCh. 8.10 - Prob. 2CYPCh. 8.10 - Prob. 3ACYPCh. 8.10 - Prob. 3BCYPCh. 8.10 - Prob. 4ACYPCh. 8.10 - Prob. 4BCYPCh. 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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