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High School Math Algebra Pre-Algebra Student Edition

The simplified expression

The simplified expression

Pre-Algebra Student Edition

Pre-Algebra Student Edition

1st Edition

ISBN: 9780078957734

Author: Glencoe/McGraw-Hill

Publisher: MCG

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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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Question

Chapter 4.2, Problem 32PPS

To determine

The simplified expression

Expert Solution & Answer

Answer to Problem 32PPS

−8x+10

Explanation of Solution

Given:

The given expression is

−2(2x−5)−4x

Calculation:

The algebraic expressions are made of terms separated with a + or a − sign. A term is the constant or the product of a constant and one or more variables.

The coefficient of the term is the constant that multiplies with one or more variables. The constant is a term which is having no variable. Like terms are the terms having the same variables and exponents. All the constants are also the like terms.

The given expression can be simplified as

=−2(2x−5)−4x=−4x+10−4x=(−4−4)x+10=−8x+10

Chapter 4.2, Problem 31PPS

Chapter 4.2, Problem 33PPS

Chapter 4 Solutions

Pre-Algebra Student Edition

Ch. 4.1 - Prob. 1AGP Ch. 4.1 - Prob. 1BGP Ch. 4.1 - Prob. 2GP Ch. 4.1 - Prob. 3AGP Ch. 4.1 - Prob. 3BGP Ch. 4.1 - Prob. 4AGP Ch. 4.1 - Prob. 4BGP Ch. 4.1 - Prob. 1CYU Ch. 4.1 - Prob. 2CYU Ch. 4.1 - Prob. 3CYU

Ch. 4.1 - Prob. 4CYU Ch. 4.1 - Prob. 5CYU Ch. 4.1 - Prob. 6CYU Ch. 4.1 - Prob. 7CYU Ch. 4.1 - Prob. 8CYU Ch. 4.1 - Prob. 9CYU Ch. 4.1 - Prob. 10PPS Ch. 4.1 - Prob. 11PPS Ch. 4.1 - Prob. 12PPS Ch. 4.1 - Prob. 13PPS Ch. 4.1 - Prob. 14PPS Ch. 4.1 - Prob. 15PPS Ch. 4.1 - Prob. 16PPS Ch. 4.1 - Prob. 17PPS Ch. 4.1 - Prob. 18PPS Ch. 4.1 - Prob. 19PPS Ch. 4.1 - Prob. 20PPS Ch. 4.1 - Prob. 21PPS Ch. 4.1 - Prob. 22PPS Ch. 4.1 - Prob. 23PPS Ch. 4.1 - Prob. 24PPS Ch. 4.1 - Prob. 25PPS Ch. 4.1 - Prob. 26PPS Ch. 4.1 - Prob. 27PPS Ch. 4.1 - Prob. 28PPS Ch. 4.1 - Prob. 29PPS Ch. 4.1 - Prob. 30PPS Ch. 4.1 - Prob. 31PPS Ch. 4.1 - Prob. 32PPS Ch. 4.1 - Prob. 33PPS Ch. 4.1 - Prob. 34PPS Ch. 4.1 - Prob. 35PPS Ch. 4.1 - Prob. 36PPS Ch. 4.1 - Prob. 37PPS Ch. 4.1 - Prob. 38PPS Ch. 4.1 - Prob. 39PPS Ch. 4.1 - Prob. 40PPS Ch. 4.1 - Prob. 41PPS Ch. 4.1 - Prob. 42PPS Ch. 4.1 - Prob. 43PPS Ch. 4.1 - Prob. 44PPS Ch. 4.1 - Prob. 45PPS Ch. 4.1 - Prob. 46PPS Ch. 4.1 - Prob. 47PPS Ch. 4.1 - Prob. 48PPS Ch. 4.1 - Prob. 49PPS Ch. 4.1 - Prob. 50PPS Ch. 4.1 - Prob. 51PPS Ch. 4.1 - Prob. 52PPS Ch. 4.1 - Prob. 53PPS Ch. 4.1 - Prob. 54PPS Ch. 4.1 - Prob. 55HP Ch. 4.1 - Prob. 56HP Ch. 4.1 - Prob. 57HP Ch. 4.1 - Prob. 58HP Ch. 4.1 - Prob. 59STP Ch. 4.1 - Prob. 60STP Ch. 4.1 - Prob. 61STP Ch. 4.1 - Prob. 62STP Ch. 4.1 - Prob. 63SR Ch. 4.1 - Prob. 64SR Ch. 4.1 - Prob. 65SR Ch. 4.1 - Prob. 66SR Ch. 4.1 - Prob. 67SR Ch. 4.1 - Prob. 68SR Ch. 4.1 - Prob. 69SR Ch. 4.1 - Prob. 70SR Ch. 4.1 - Prob. 71SR Ch. 4.1 - Prob. 72SR Ch. 4.1 - Prob. 73S Ch. 4.1 - Prob. 74S Ch. 4.1 - Prob. 75S Ch. 4.1 - Prob. 76S Ch. 4.2 - Prob. 1GP Ch. 4.2 - Prob. 2GP Ch. 4.2 - Prob. 3AGP Ch. 4.2 - Prob. 3BGP Ch. 4.2 - Prob. 3CGP Ch. 4.2 - Prob. 4GP Ch. 4.2 - Prob. 1CYU Ch. 4.2 - Prob. 2CYU Ch. 4.2 - Prob. 3CYU Ch. 4.2 - Prob. 4CYU Ch. 4.2 - Prob. 5CYU Ch. 4.2 - Prob. 6CYU Ch. 4.2 - Prob. 7CYU Ch. 4.2 - Prob. 8CYU Ch. 4.2 - Prob. 9CYU Ch. 4.2 - Prob. 10CYU Ch. 4.2 - Prob. 11CYU Ch. 4.2 - Prob. 12CYU Ch. 4.2 - Prob. 13CYU Ch. 4.2 - Prob. 14CYU Ch. 4.2 - Prob. 15PPS Ch. 4.2 - Prob. 16PPS Ch. 4.2 - Prob. 17PPS Ch. 4.2 - Prob. 18PPS Ch. 4.2 - Prob. 19PPS Ch. 4.2 - Prob. 20PPS Ch. 4.2 - Prob. 21PPS Ch. 4.2 - Prob. 22PPS Ch. 4.2 - Prob. 23PPS Ch. 4.2 - Prob. 24PPS Ch. 4.2 - Prob. 25PPS Ch. 4.2 - Prob. 26PPS Ch. 4.2 - Prob. 27PPS Ch. 4.2 - Prob. 28PPS Ch. 4.2 - Prob. 29PPS Ch. 4.2 - Prob. 30PPS Ch. 4.2 - Prob. 31PPS Ch. 4.2 - Prob. 32PPS Ch. 4.2 - Prob. 33PPS Ch. 4.2 - Prob. 34PPS Ch. 4.2 - Prob. 35PPS Ch. 4.2 - Prob. 36PPS Ch. 4.2 - Prob. 37PPS Ch. 4.2 - Prob. 38PPS Ch. 4.2 - Prob. 39PPS Ch. 4.2 - Prob. 40PPS Ch. 4.2 - Prob. 41PPS Ch. 4.2 - Prob. 42PPS Ch. 4.2 - Prob. 43PPS Ch. 4.2 - Prob. 44PPS Ch. 4.2 - Prob. 45PPS Ch. 4.2 - Prob. 46PPS Ch. 4.2 - Prob. 47PPS Ch. 4.2 - Prob. 48PPS Ch. 4.2 - Prob. 49PPS Ch. 4.2 - Prob. 50PPS Ch. 4.2 - Prob. 51PPS Ch. 4.2 - Prob. 52PPS Ch. 4.2 - Prob. 53PPS Ch. 4.2 - Prob. 54HP Ch. 4.2 - Prob. 55HP Ch. 4.2 - Prob. 56HP Ch. 4.2 - Prob. 57HP Ch. 4.2 - Prob. 58HP Ch. 4.2 - Prob. 59HP Ch. 4.2 - Prob. 60STP Ch. 4.2 - Prob. 61STP Ch. 4.2 - Prob. 62STP Ch. 4.2 - Prob. 63STP Ch. 4.2 - Prob. 64SR Ch. 4.2 - Prob. 65SR Ch. 4.2 - Prob. 66SR Ch. 4.2 - Prob. 67SR Ch. 4.2 - Prob. 68SR Ch. 4.2 - Prob. 69SR Ch. 4.2 - Prob. 70SR Ch. 4.2 - Prob. 71SR Ch. 4.2 - Prob. 72SR Ch. 4.2 - Prob. 73SR Ch. 4.2 - Prob. 74SR Ch. 4.2 - Prob. 75SR Ch. 4.2 - Prob. 76SR Ch. 4.2 - Prob. 77SR Ch. 4.2 - Prob. 78S Ch. 4.2 - Prob. 79S Ch. 4.2 - Prob. 80S Ch. 4.3 - Prob. 1AGP Ch. 4.3 - Prob. 1BGP Ch. 4.3 - Prob. 2AGP Ch. 4.3 - Prob. 2BGP Ch. 4.3 - Prob. 3GP Ch. 4.3 - Prob. 1CYU Ch. 4.3 - Prob. 2CYU Ch. 4.3 - Prob. 3CYU Ch. 4.3 - Prob. 4CYU Ch. 4.3 - Prob. 5CYU Ch. 4.3 - Prob. 6CYU Ch. 4.3 - Prob. 7CYU Ch. 4.3 - Prob. 8CYU Ch. 4.3 - Prob. 9CYU Ch. 4.3 - Prob. 10CYU Ch. 4.3 - Prob. 11CYU Ch. 4.3 - Prob. 12PPS Ch. 4.3 - Prob. 13PPS Ch. 4.3 - Prob. 14PPS Ch. 4.3 - Prob. 15PPS Ch. 4.3 - Prob. 16PPS Ch. 4.3 - Prob. 17PPS Ch. 4.3 - Prob. 18PPS Ch. 4.3 - Prob. 19PPS Ch. 4.3 - Prob. 20PPS Ch. 4.3 - Prob. 21PPS Ch. 4.3 - Prob. 22PPS Ch. 4.3 - Prob. 23PPS Ch. 4.3 - Prob. 24PPS Ch. 4.3 - Prob. 25PPS Ch. 4.3 - Prob. 26PPS Ch. 4.3 - Prob. 27PPS Ch. 4.3 - Prob. 28PPS Ch. 4.3 - Prob. 29PPS Ch. 4.3 - Prob. 30PPS Ch. 4.3 - Prob. 31PPS Ch. 4.3 - Prob. 32PPS Ch. 4.3 - Prob. 33PPS Ch. 4.3 - Prob. 34PPS Ch. 4.3 - Prob. 35PPS Ch. 4.3 - Prob. 36PPS Ch. 4.3 - Prob. 37PPS Ch. 4.3 - Prob. 38PPS Ch. 4.3 - Prob. 39PPS Ch. 4.3 - Prob. 40PPS Ch. 4.3 - Prob. 41PPS Ch. 4.3 - Prob. 42PPS Ch. 4.3 - Prob. 43HP Ch. 4.3 - Prob. 44HP Ch. 4.3 - Prob. 45HP Ch. 4.3 - Prob. 46HP Ch. 4.3 - Prob. 47HP Ch. 4.3 - Prob. 48STP Ch. 4.3 - Prob. 49STP Ch. 4.3 - Prob. 50STP Ch. 4.3 - Prob. 51STP Ch. 4.3 - Prob. 52SR Ch. 4.3 - Prob. 53SR Ch. 4.3 - Prob. 54SR Ch. 4.3 - Prob. 55SR Ch. 4.3 - Prob. 56SR Ch. 4.3 - Prob. 57SR Ch. 4.3 - Prob. 58SR Ch. 4.3 - Prob. 59SR Ch. 4.3 - Prob. 60S Ch. 4.3 - Prob. 61S Ch. 4.3 - Prob. 62S Ch. 4.3 - Prob. 63S Ch. 4.3 - Prob. 64S Ch. 4.3 - Prob. 65S Ch. 4.4 - Prob. 1AGP Ch. 4.4 - Prob. 1BGP Ch. 4.4 - Prob. 2AGP Ch. 4.4 - Prob. 2BGP Ch. 4.4 - Prob. 3GP Ch. 4.4 - Prob. 4AGP Ch. 4.4 - Prob. 4BGP Ch. 4.4 - Prob. 5AGP Ch. 4.4 - Prob. 5BGP Ch. 4.4 - Prob. 1CYU Ch. 4.4 - Prob. 2CYU Ch. 4.4 - Prob. 3CYU Ch. 4.4 - Prob. 4CYU Ch. 4.4 - Prob. 5CYU Ch. 4.4 - Prob. 6CYU Ch. 4.4 - Prob. 7CYU Ch. 4.4 - Prob. 8CYU Ch. 4.4 - Prob. 9CYU Ch. 4.4 - Prob. 10CYU Ch. 4.4 - Prob. 11CYU Ch. 4.4 - Prob. 12PPS Ch. 4.4 - Prob. 13PPS Ch. 4.4 - Prob. 14PPS Ch. 4.4 - Prob. 15PPS Ch. 4.4 - Prob. 16PPS Ch. 4.4 - Prob. 17PPS Ch. 4.4 - Prob. 18PPS Ch. 4.4 - Prob. 19PPS Ch. 4.4 - Prob. 20PPS Ch. 4.4 - Prob. 21PPS Ch. 4.4 - Prob. 22PPS Ch. 4.4 - Prob. 23PPS Ch. 4.4 - Prob. 24PPS Ch. 4.4 - Prob. 25PPS Ch. 4.4 - Prob. 26PPS Ch. 4.4 - Prob. 27PPS Ch. 4.4 - Prob. 28PPS Ch. 4.4 - Prob. 29PPS Ch. 4.4 - Prob. 30PPS Ch. 4.4 - Prob. 31PPS Ch. 4.4 - Prob. 32PPS Ch. 4.4 - Prob. 33PPS Ch. 4.4 - Prob. 34PPS Ch. 4.4 - Prob. 35PPS Ch. 4.4 - Prob. 36PPS Ch. 4.4 - Prob. 37PPS Ch. 4.4 - Prob. 38PPS Ch. 4.4 - Prob. 39PPS Ch. 4.4 - Prob. 40PPS Ch. 4.4 - Prob. 41PPS Ch. 4.4 - Prob. 42PPS Ch. 4.4 - Prob. 43PPS Ch. 4.4 - Prob. 44HP Ch. 4.4 - Prob. 45HP Ch. 4.4 - Prob. 46HP Ch. 4.4 - Prob. 47HP Ch. 4.4 - Prob. 48HP Ch. 4.4 - Prob. 49HP Ch. 4.4 - Prob. 50STP Ch. 4.4 - Prob. 51STP Ch. 4.4 - Prob. 52STP Ch. 4.4 - Prob. 53STP Ch. 4.4 - Prob. 54SR Ch. 4.4 - Prob. 55SR Ch. 4.4 - Prob. 56SR Ch. 4.4 - Prob. 57SR Ch. 4.4 - Prob. 58SR Ch. 4.4 - Prob. 59SR Ch. 4.4 - Prob. 60SR Ch. 4.4 - Prob. 61SR Ch. 4.4 - Prob. 62SR Ch. 4.4 - Prob. 63SR Ch. 4.4 - Prob. 64SR Ch. 4.4 - Prob. 65SR Ch. 4.4 - Prob. 66SR Ch. 4.4 - Prob. 67SR Ch. 4.4 - Prob. 68SR Ch. 4.4 - Prob. 69SR Ch. 4.4 - Prob. 70SR Ch. 4.4 - Prob. 71S Ch. 4.4 - Prob. 72S Ch. 4.4 - Prob. 73S Ch. 4.4 - Prob. 74S Ch. 4.4 - Prob. 75S Ch. 4.4 - Prob. 76S Ch. 4.5 - Prob. 1AGP Ch. 4.5 - Prob. 1BGP Ch. 4.5 - Prob. 2AGP Ch. 4.5 - Prob. 2BGP Ch. 4.5 - Prob. 3AGP Ch. 4.5 - Prob. 3BGP Ch. 4.5 - Prob. 4AGP Ch. 4.5 - Prob. 4BGP Ch. 4.5 - Prob. 5GP Ch. 4.5 - Prob. 1CYU Ch. 4.5 - Prob. 2CYU Ch. 4.5 - Prob. 3CYU Ch. 4.5 - Prob. 4CYU Ch. 4.5 - Prob. 5CYU Ch. 4.5 - Prob. 6CYU Ch. 4.5 - Prob. 7CYU Ch. 4.5 - Prob. 8CYU Ch. 4.5 - Prob. 9CYU Ch. 4.5 - Prob. 10CYU Ch. 4.5 - Prob. 11CYU Ch. 4.5 - Prob. 12CYU Ch. 4.5 - Prob. 13CYU Ch. 4.5 - Prob. 14PPS Ch. 4.5 - Prob. 15PPS Ch. 4.5 - Prob. 16PPS Ch. 4.5 - Prob. 17PPS Ch. 4.5 - Prob. 18PPS Ch. 4.5 - Prob. 19PPS Ch. 4.5 - Prob. 20PPS Ch. 4.5 - Prob. 21PPS Ch. 4.5 - Prob. 22PPS Ch. 4.5 - Prob. 23PPS Ch. 4.5 - Prob. 24PPS Ch. 4.5 - Prob. 25PPS Ch. 4.5 - Prob. 26PPS Ch. 4.5 - Prob. 27PPS Ch. 4.5 - Prob. 28PPS Ch. 4.5 - Prob. 29PPS Ch. 4.5 - Prob. 30PPS Ch. 4.5 - Prob. 31PPS Ch. 4.5 - Prob. 32PPS Ch. 4.5 - Prob. 33PPS Ch. 4.5 - Prob. 34PPS Ch. 4.5 - Prob. 35PPS Ch. 4.5 - Prob. 36PPS Ch. 4.5 - Prob. 37PPS Ch. 4.5 - Prob. 38PPS Ch. 4.5 - Prob. 39PPS Ch. 4.5 - Prob. 40PPS Ch. 4.5 - Prob. 41PPS Ch. 4.5 - Prob. 42PPS Ch. 4.5 - Prob. 43HP Ch. 4.5 - Prob. 44HP Ch. 4.5 - Prob. 45HP Ch. 4.5 - Prob. 46HP Ch. 4.5 - Prob. 47HP Ch. 4.5 - Prob. 48STP Ch. 4.5 - Prob. 49STP Ch. 4.5 - Prob. 50STP Ch. 4.5 - Prob. 51STP Ch. 4.5 - Prob. 52SR Ch. 4.5 - Prob. 53SR Ch. 4.5 - Prob. 54SR Ch. 4.5 - Prob. 55SR Ch. 4.5 - Prob. 56SR Ch. 4.5 - Prob. 57SR Ch. 4.5 - Prob. 58SR Ch. 4.5 - Prob. 59SR Ch. 4.5 - Prob. 60S Ch. 4.5 - Prob. 61S Ch. 4.5 - Prob. 62S Ch. 4.5 - Prob. 63S Ch. 4.5 - Prob. 64S Ch. 4.5 - Prob. 65S Ch. 4.6 - Prob. 1AGP Ch. 4.6 - Prob. 1BGP Ch. 4.6 - Prob. 1CGP Ch. 4.6 - Prob. 2GP Ch. 4.6 - Prob. 3GP Ch. 4.6 - Prob. 1CYU Ch. 4.6 - Prob. 2CYU Ch. 4.6 - Prob. 3CYU Ch. 4.6 - Prob. 4CYU Ch. 4.6 - Prob. 5CYU Ch. 4.6 - Prob. 6CYU Ch. 4.6 - Prob. 7PPS Ch. 4.6 - Prob. 8PPS Ch. 4.6 - Prob. 9PPS Ch. 4.6 - Prob. 10PPS Ch. 4.6 - Prob. 11PPS Ch. 4.6 - Prob. 12PPS Ch. 4.6 - Prob. 13PPS Ch. 4.6 - Prob. 14PPS Ch. 4.6 - Prob. 15PPS Ch. 4.6 - Prob. 16PPS Ch. 4.6 - Prob. 17PPS Ch. 4.6 - Prob. 18PPS Ch. 4.6 - Prob. 19PPS Ch. 4.6 - Prob. 20HP Ch. 4.6 - Prob. 21HP Ch. 4.6 - Prob. 22HP Ch. 4.6 - Prob. 23HP Ch. 4.6 - Prob. 24HP Ch. 4.6 - Prob. 25STP Ch. 4.6 - Prob. 26STP Ch. 4.6 - Prob. 27STP Ch. 4.6 - Prob. 28STP Ch. 4.6 - Prob. 29SR Ch. 4.6 - Prob. 30SR Ch. 4.6 - Prob. 31SR Ch. 4.6 - Prob. 32SR Ch. 4.6 - Prob. 33SR Ch. 4.6 - Prob. 34SR Ch. 4.6 - Prob. 35SR Ch. 4.6 - Prob. 36SR Ch. 4.6 - Prob. 37SR Ch. 4.6 - Prob. 38S Ch. 4.6 - Prob. 39S Ch. 4.6 - Prob. 40S Ch. 4.6 - Prob. 41S Ch. 4 - Prob. 1QC Ch. 4 - Prob. 2QC Ch. 4 - Prob. 3QC Ch. 4 - Prob. 4QC Ch. 4 - Prob. 5QC Ch. 4 - Prob. 6QC Ch. 4 - Prob. 7QC Ch. 4 - Prob. 8QC Ch. 4 - Prob. 9QC Ch. 4 - Prob. 10QC Ch. 4 - Prob. 11QC Ch. 4 - Prob. 12QC Ch. 4 - Prob. 13QC Ch. 4 - Prob. 14QC Ch. 4 - Prob. 15QC Ch. 4 - Prob. 16QC Ch. 4 - Prob. 17QC Ch. 4 - Prob. 18QC Ch. 4 - Prob. 19QC Ch. 4 - Prob. 1MCQ Ch. 4 - Prob. 2MCQ Ch. 4 - Prob. 3MCQ Ch. 4 - Prob. 4MCQ Ch. 4 - Prob. 5MCQ Ch. 4 - Prob. 6MCQ Ch. 4 - Prob. 7MCQ Ch. 4 - Prob. 8MCQ Ch. 4 - Prob. 9MCQ Ch. 4 - Prob. 10MCQ Ch. 4 - Prob. 11MCQ Ch. 4 - Prob. 12MCQ Ch. 4 - Prob. 13MCQ Ch. 4 - Prob. 14MCQ Ch. 4 - Prob. 15MCQ Ch. 4 - Prob. 16MCQ Ch. 4 - Prob. 17MCQ Ch. 4 - Prob. 18MCQ Ch. 4 - Prob. 19MCQ Ch. 4 - Prob. 20MCQ Ch. 4 - Prob. 21MCQ Ch. 4 - Prob. 22MCQ Ch. 4 - Prob. 23MCQ Ch. 4 - Prob. 24MCQ Ch. 4 - Prob. 25MCQ Ch. 4 - Prob. 1SGR Ch. 4 - Prob. 2SGR Ch. 4 - Prob. 3SGR Ch. 4 - Prob. 4SGR Ch. 4 - Prob. 5SGR Ch. 4 - Prob. 6SGR Ch. 4 - Prob. 7SGR Ch. 4 - Prob. 8SGR Ch. 4 - Prob. 9SGR Ch. 4 - Prob. 10SGR Ch. 4 - Prob. 11SGR Ch. 4 - Prob. 12SGR Ch. 4 - Prob. 13SGR Ch. 4 - Prob. 14SGR Ch. 4 - Prob. 15SGR Ch. 4 - Prob. 16SGR Ch. 4 - Prob. 17SGR Ch. 4 - Prob. 18SGR Ch. 4 - Prob. 19SGR Ch. 4 - Prob. 20SGR Ch. 4 - Prob. 21SGR Ch. 4 - Prob. 22SGR Ch. 4 - Prob. 23SGR Ch. 4 - Prob. 24SGR Ch. 4 - Prob. 25SGR Ch. 4 - Prob. 26SGR Ch. 4 - Prob. 27SGR Ch. 4 - Prob. 28SGR Ch. 4 - Prob. 29SGR Ch. 4 - Prob. 30SGR Ch. 4 - Prob. 31SGR Ch. 4 - Prob. 32SGR Ch. 4 - Prob. 33SGR Ch. 4 - Prob. 34SGR Ch. 4 - Prob. 35SGR Ch. 4 - Prob. 36SGR Ch. 4 - Prob. 37SGR Ch. 4 - Prob. 38SGR Ch. 4 - Prob. 39SGR Ch. 4 - Prob. 40SGR Ch. 4 - Prob. 41SGR Ch. 4 - Prob. 42SGR Ch. 4 - Prob. 43SGR Ch. 4 - Prob. 44SGR Ch. 4 - Prob. 45SGR Ch. 4 - Prob. 46SGR Ch. 4 - Prob. 1PT Ch. 4 - Prob. 2PT Ch. 4 - Prob. 3PT Ch. 4 - Prob. 4PT Ch. 4 - Prob. 5PT Ch. 4 - Prob. 6PT Ch. 4 - Prob. 7PT Ch. 4 - Prob. 8PT Ch. 4 - Prob. 9PT Ch. 4 - Prob. 10PT Ch. 4 - Prob. 11PT Ch. 4 - Prob. 12PT Ch. 4 - Prob. 13PT Ch. 4 - Prob. 14PT Ch. 4 - Prob. 15PT Ch. 4 - Prob. 16PT Ch. 4 - Prob. 17PT Ch. 4 - Prob. 18PT Ch. 4 - Prob. 19PT Ch. 4 - Prob. 20PT Ch. 4 - Prob. 21PT Ch. 4 - Prob. 22PT Ch. 4 - Prob. 23PT Ch. 4 - Prob. 24PT Ch. 4 - Prob. 25PT Ch. 4 - Prob. 26PT Ch. 4 - Prob. 27PT Ch. 4 - Prob. 28PT Ch. 4 - Prob. 29PT Ch. 4 - Prob. 30PT Ch. 4 - Prob. 31PT Ch. 4 - Prob. 32PT Ch. 4 - Prob. 33PT Ch. 4 - Prob. 1E Ch. 4 - Prob. 2E Ch. 4 - Prob. 3E Ch. 4 - Prob. 1STP Ch. 4 - Prob. 2STP Ch. 4 - Prob. 3STP Ch. 4 - Prob. 4STP Ch. 4 - Prob. 5STP Ch. 4 - Prob. 6STP Ch. 4 - Prob. 7STP Ch. 4 - Prob. 8STP Ch. 4 - Prob. 9STP Ch. 4 - Prob. 10STP Ch. 4 - Prob. 11STP Ch. 4 - Prob. 12STP Ch. 4 - Prob. 13STP Ch. 4 - Prob. 14STP Ch. 4 - Prob. 15STP

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