Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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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
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Chapter 3, Problem 6MPS
To determine

Find the dimensions of the rectangle if it possible, otherwise explain why it has no solution.

Expert Solution & Answer
Check Mark

Answer to Problem 6MPS

The width of the rectangle is 11cm.

The length of the rectangle is 13cm.

Explanation of Solution

Given information:

Width and length are odd integer and perimeter of rectangle is 48 cm.

Formula used: Perimeter of a rectangle = 2(l+w) , where l is the length and w is the width of the rectangle.

Calculation:

Let the width (first odd integer) = x cm.

According to problem

The length (Second odd consecutive integer) = x+2 cm

Substituting width w = x+2 , length l = x and Perimeter = 48 in above formula, we get

  48=2(x+x+2)

Switching sides

  2(x+x+2)=48

Combine like terms

  2(2x+2)=48

Distribute 2 over (2x+2)

  4x+4=48

Subtract 4 on both sides

  4x+4−4=48−4⇒4x=44

Divide both sides by 4

  4x4=444

  ⇒x=11

Therefore, the width of the rectangle = 11cm.

And the length of rectangle = ⇒x+2=11+2=13cm.

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Chapter 3, Problem 5MPS
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Chapter 3, Problem 7MPS

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

Ch. 3.1 - Prob. 1OECh. 3.1 - Prob. 2OECh. 3.1 - Prob. 3OECh. 3.1 - Prob. 4OECh. 3.1 - Prob. 5OECh. 3.1 - Prob. 6OECh. 3.1 - Prob. 7OECh. 3.1 - Prob. 8OECh. 3.1 - Prob. 9OECh. 3.1 - Prob. 10OE
Ch. 3.1 - Prob. 11OECh. 3.1 - Prob. 12OECh. 3.1 - Prob. 13OECh. 3.1 - Prob. 14OECh. 3.1 - Prob. 15OECh. 3.1 - Prob. 16OECh. 3.1 - Prob. 17OECh. 3.1 - Prob. 18OECh. 3.1 - Prob. 19OECh. 3.1 - Prob. 20OECh. 3.1 - Prob. 21OECh. 3.1 - Prob. 1WECh. 3.1 - Prob. 2WECh. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 5WECh. 3.1 - Prob. 6WECh. 3.1 - Prob. 7WECh. 3.1 - Prob. 8WECh. 3.1 - Prob. 9WECh. 3.1 - Prob. 10WECh. 3.1 - Prob. 11WECh. 3.1 - Prob. 12WECh. 3.1 - Prob. 13WECh. 3.1 - Prob. 14WECh. 3.1 - Prob. 15WECh. 3.1 - Prob. 16WECh. 3.1 - Prob. 17WECh. 3.1 - Prob. 18WECh. 3.1 - Prob. 19WECh. 3.1 - Prob. 20WECh. 3.1 - Prob. 21WECh. 3.1 - Prob. 22WECh. 3.1 - Prob. 23WECh. 3.1 - Prob. 24WECh. 3.1 - Prob. 25WECh. 3.1 - Prob. 26WECh. 3.1 - Prob. 27WECh. 3.1 - Prob. 28WECh. 3.1 - Prob. 29WECh. 3.1 - Prob. 30WECh. 3.1 - Prob. 31WECh. 3.1 - Prob. 32WECh. 3.1 - Prob. 33WECh. 3.1 - Prob. 34WECh. 3.1 - Prob. 35WECh. 3.1 - Prob. 36WECh. 3.1 - Prob. 37WECh. 3.1 - Prob. 38WECh. 3.1 - Prob. 39WECh. 3.1 - 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Prob. 12MRECh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.2 - Prob. 1OECh. 3.2 - Prob. 2OECh. 3.2 - Prob. 3OECh. 3.2 - Prob. 4OECh. 3.2 - Prob. 5OECh. 3.2 - Prob. 6OECh. 3.2 - Prob. 7OECh. 3.2 - Prob. 8OECh. 3.2 - Prob. 9OECh. 3.2 - Prob. 10OECh. 3.2 - Prob. 11OECh. 3.2 - Prob. 12OECh. 3.2 - Prob. 13OECh. 3.2 - Prob. 14OECh. 3.2 - Prob. 15OECh. 3.2 - Prob. 16OECh. 3.2 - Prob. 17OECh. 3.2 - Prob. 18OECh. 3.2 - Prob. 1WECh. 3.2 - Prob. 2WECh. 3.2 - Prob. 3WECh. 3.2 - Prob. 4WECh. 3.2 - Prob. 5WECh. 3.2 - Prob. 6WECh. 3.2 - Prob. 7WECh. 3.2 - Prob. 8WECh. 3.2 - Prob. 9WECh. 3.2 - Prob. 10WECh. 3.2 - Prob. 11WECh. 3.2 - Prob. 12WECh. 3.2 - Prob. 13WECh. 3.2 - Prob. 14WECh. 3.2 - Prob. 15WECh. 3.2 - Prob. 16WECh. 3.2 - Prob. 17WECh. 3.2 - Prob. 18WECh. 3.2 - Prob. 19WECh. 3.2 - Prob. 20WECh. 3.2 - Prob. 21WECh. 3.2 - Prob. 22WECh. 3.2 - Prob. 23WECh. 3.2 - Prob. 24WECh. 3.2 - Prob. 25WECh. 3.2 - Prob. 26WECh. 3.2 - Prob. 27WECh. 3.2 - Prob. 28WECh. 3.2 - Prob. 29WECh. 3.2 - 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Prob. 10MRECh. 3.2 - Prob. 11MRECh. 3.2 - Prob. 12MRECh. 3.3 - Prob. 1OECh. 3.3 - Prob. 2OECh. 3.3 - Prob. 3OECh. 3.3 - Prob. 4OECh. 3.3 - Prob. 5OECh. 3.3 - Prob. 6OECh. 3.3 - Prob. 7OECh. 3.3 - Prob. 8OECh. 3.3 - Prob. 9OECh. 3.3 - Prob. 10OECh. 3.3 - Prob. 11OECh. 3.3 - Prob. 12OECh. 3.3 - Prob. 13OECh. 3.3 - Prob. 14OECh. 3.3 - Prob. 15OECh. 3.3 - Prob. 16OECh. 3.3 - Prob. 17OECh. 3.3 - Prob. 18OECh. 3.3 - Prob. 1WECh. 3.3 - Prob. 2WECh. 3.3 - Prob. 3WECh. 3.3 - Prob. 4WECh. 3.3 - Prob. 5WECh. 3.3 - Prob. 6WECh. 3.3 - Prob. 7WECh. 3.3 - Prob. 8WECh. 3.3 - Prob. 9WECh. 3.3 - Prob. 10WECh. 3.3 - Prob. 11WECh. 3.3 - Prob. 12WECh. 3.3 - Prob. 13WECh. 3.3 - Prob. 14WECh. 3.3 - Prob. 15WECh. 3.3 - Prob. 16WECh. 3.3 - Prob. 17WECh. 3.3 - Prob. 18WECh. 3.3 - Prob. 19WECh. 3.3 - Prob. 20WECh. 3.3 - Prob. 21WECh. 3.3 - Prob. 22WECh. 3.3 - Prob. 23WECh. 3.3 - Prob. 24WECh. 3.3 - Prob. 25WECh. 3.3 - Prob. 26WECh. 3.3 - Prob. 27WECh. 3.3 - Prob. 28WECh. 3.3 - Prob. 29WECh. 3.3 - Prob. 30WECh. 3.3 - Prob. 31WECh. 3.3 - Prob. 32WECh. 3.3 - Prob. 33WECh. 3.3 - Prob. 34WECh. 3.3 - Prob. 35WECh. 3.3 - Prob. 36WECh. 3.3 - Prob. 37WECh. 3.3 - Prob. 38WECh. 3.3 - Prob. 39WECh. 3.3 - Prob. 40WECh. 3.3 - Prob. 41WECh. 3.3 - Prob. 42WECh. 3.3 - Prob. 43WECh. 3.3 - Prob. 44WECh. 3.3 - Prob. 45WECh. 3.3 - Prob. 46WECh. 3.3 - Prob. 47WECh. 3.3 - Prob. 48WECh. 3.3 - Prob. 49WECh. 3.3 - Prob. 50WECh. 3.3 - Prob. 51WECh. 3.3 - Prob. 52WECh. 3.3 - Prob. 53WECh. 3.3 - Prob. 54WECh. 3.3 - Prob. 55WECh. 3.3 - Prob. 56WECh. 3.3 - Prob. 57WECh. 3.3 - Prob. 58WECh. 3.3 - Prob. 59WECh. 3.3 - Prob. 60WECh. 3.3 - Prob. 1MRECh. 3.3 - Prob. 2MRECh. 3.3 - Prob. 3MRECh. 3.3 - Prob. 4MRECh. 3.3 - Prob. 5MRECh. 3.3 - Prob. 6MRECh. 3.3 - Prob. 7MRECh. 3.3 - Prob. 8MRECh. 3.3 - Prob. 9MRECh. 3.3 - Prob. 10MRECh. 3.3 - Prob. 11MRECh. 3.3 - Prob. 12MRECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 5PCh. 3.4 - Prob. 6PCh. 3.4 - Prob. 7PCh. 3.4 - Prob. 8PCh. 3.4 - Prob. 9PCh. 3.4 - Prob. 10PCh. 3.4 - Prob. 11PCh. 3.4 - Prob. 12PCh. 3.4 - Prob. 13PCh. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 1MRECh. 3.4 - Prob. 2MRECh. 3.4 - Prob. 3MRECh. 3.4 - Prob. 4MRECh. 3.4 - Prob. 5MRECh. 3.4 - Prob. 6MRECh. 3.4 - Prob. 7MRECh. 3.4 - Prob. 8MRECh. 3.4 - Prob. 9MRECh. 3.4 - Prob. 10MRECh. 3.4 - Prob. 11MRECh. 3.4 - Prob. 12MRECh. 3.5 - Prob. 1OECh. 3.5 - Prob. 2OECh. 3.5 - Prob. 3OECh. 3.5 - Prob. 4OECh. 3.5 - Prob. 5OECh. 3.5 - Prob. 6OECh. 3.5 - Prob. 7OECh. 3.5 - Prob. 8OECh. 3.5 - Prob. 9OECh. 3.5 - Prob. 10OECh. 3.5 - Prob. 11OECh. 3.5 - Prob. 12OECh. 3.5 - Prob. 1WECh. 3.5 - Prob. 2WECh. 3.5 - Prob. 3WECh. 3.5 - Prob. 4WECh. 3.5 - Prob. 5WECh. 3.5 - Prob. 6WECh. 3.5 - Prob. 7WECh. 3.5 - Prob. 8WECh. 3.5 - Prob. 9WECh. 3.5 - Prob. 10WECh. 3.5 - Prob. 11WECh. 3.5 - Prob. 12WECh. 3.5 - Prob. 13WECh. 3.5 - Prob. 14WECh. 3.5 - Prob. 15WECh. 3.5 - Prob. 16WECh. 3.5 - Prob. 17WECh. 3.5 - Prob. 18WECh. 3.5 - Prob. 19WECh. 3.5 - Prob. 20WECh. 3.5 - Prob. 21WECh. 3.5 - Prob. 22WECh. 3.5 - Prob. 23WECh. 3.5 - Prob. 24WECh. 3.5 - Prob. 25WECh. 3.5 - Prob. 26WECh. 3.5 - Prob. 27WECh. 3.5 - Prob. 28WECh. 3.5 - Prob. 29WECh. 3.5 - Prob. 30WECh. 3.5 - Prob. 31WECh. 3.5 - Prob. 32WECh. 3.5 - Prob. 33WECh. 3.5 - Prob. 34WECh. 3.5 - Prob. 35WECh. 3.5 - Prob. 36WECh. 3.5 - Prob. 37WECh. 3.5 - Prob. 38WECh. 3.5 - Prob. 39WECh. 3.5 - Prob. 40WECh. 3.5 - Prob. 41WECh. 3.5 - Prob. 42WECh. 3.5 - Prob. 43WECh. 3.5 - Prob. 44WECh. 3.5 - Prob. 45WECh. 3.5 - Prob. 46WECh. 3.5 - Prob. 47WECh. 3.5 - Prob. 48WECh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.5 - Prob. 8PCh. 3.5 - Prob. 9PCh. 3.5 - Prob. 10PCh. 3.5 - Prob. 11PCh. 3.5 - Prob. 12PCh. 3.5 - Prob. 13PCh. 3.5 - Prob. 14PCh. 3.5 - Prob. 15PCh. 3.5 - Prob. 16PCh. 3.5 - Prob. 17PCh. 3.5 - Prob. 18PCh. 3.5 - Prob. 19PCh. 3.5 - Prob. 20PCh. 3.5 - Prob. 1MRECh. 3.5 - Prob. 2MRECh. 3.5 - Prob. 3MRECh. 3.5 - Prob. 4MRECh. 3.5 - Prob. 5MRECh. 3.5 - Prob. 6MRECh. 3.5 - Prob. 7MRECh. 3.5 - Prob. 8MRECh. 3.5 - Prob. 9MRECh. 3.5 - Prob. 10MRECh. 3.5 - Prob. 11MRECh. 3.5 - Prob. 12MRECh. 3.5 - Prob. 1CECh. 3.5 - Prob. 2CECh. 3.5 - Prob. 3CECh. 3.5 - Prob. 4CECh. 3.5 - Prob. 5CECh. 3.5 - Prob. 6CECh. 3.5 - Prob. 1STCh. 3.5 - Prob. 2STCh. 3.5 - Prob. 3STCh. 3.5 - Prob. 4STCh. 3.6 - Prob. 1OECh. 3.6 - Prob. 2OECh. 3.6 - Prob. 3OECh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 6PCh. 3.6 - Prob. 7PCh. 3.6 - Prob. 8PCh. 3.6 - Prob. 9PCh. 3.6 - Prob. 10PCh. 3.6 - Prob. 11PCh. 3.6 - Prob. 12PCh. 3.6 - Prob. 13PCh. 3.6 - Prob. 14PCh. 3.6 - Prob. 15PCh. 3.6 - Prob. 16PCh. 3.6 - Prob. 17PCh. 3.6 - Prob. 18PCh. 3.6 - Prob. 19PCh. 3.6 - Prob. 20PCh. 3.6 - Prob. 1MRECh. 3.6 - Prob. 2MRECh. 3.6 - Prob. 3MRECh. 3.6 - Prob. 4MRECh. 3.6 - Prob. 5MRECh. 3.6 - Prob. 6MRECh. 3.6 - Prob. 7MRECh. 3.6 - Prob. 8MRECh. 3.6 - Prob. 9MRECh. 3.6 - Prob. 10MRECh. 3.6 - Prob. 11MRECh. 3.6 - Prob. 12MRECh. 3.7 - Prob. 1OECh. 3.7 - Prob. 2OECh. 3.7 - Prob. 1PCh. 3.7 - Prob. 2PCh. 3.7 - Prob. 3PCh. 3.7 - Prob. 4PCh. 3.7 - Prob. 5PCh. 3.7 - Prob. 6PCh. 3.7 - Prob. 7PCh. 3.7 - Prob. 8PCh. 3.7 - Prob. 9PCh. 3.7 - Prob. 10PCh. 3.7 - Prob. 11PCh. 3.7 - Prob. 12PCh. 3.7 - Prob. 13PCh. 3.7 - Prob. 14PCh. 3.7 - Prob. 15PCh. 3.7 - Prob. 16PCh. 3.7 - Prob. 17PCh. 3.7 - Prob. 18PCh. 3.7 - Prob. 1MRECh. 3.7 - Prob. 2MRECh. 3.7 - Prob. 3MRECh. 3.7 - Prob. 4MRECh. 3.7 - Prob. 5MRECh. 3.7 - Prob. 6MRECh. 3.7 - Prob. 7MRECh. 3.7 - Prob. 8MRECh. 3.7 - Prob. 9MRECh. 3.7 - Prob. 1CECh. 3.7 - Prob. 2CECh. 3.8 - Prob. 1OECh. 3.8 - Prob. 2OECh. 3.8 - Prob. 3OECh. 3.8 - Prob. 1WECh. 3.8 - Prob. 2WECh. 3.8 - Prob. 3WECh. 3.8 - Prob. 4WECh. 3.8 - Prob. 5WECh. 3.8 - Prob. 6WECh. 3.8 - Prob. 7WECh. 3.8 - Prob. 8WECh. 3.8 - Prob. 9WECh. 3.8 - Prob. 10WECh. 3.8 - Prob. 11WECh. 3.8 - Prob. 1MRECh. 3.8 - Prob. 2MRECh. 3.8 - Prob. 3MRECh. 3.8 - Prob. 4MRECh. 3.8 - Prob. 5MRECh. 3.8 - Prob. 6MRECh. 3.8 - Prob. 7MRECh. 3.8 - Prob. 8MRECh. 3.8 - Prob. 9MRECh. 3.8 - Prob. 10MRECh. 3.8 - Prob. 11MRECh. 3.8 - Prob. 12MRECh. 3.8 - Prob. 1STCh. 3.8 - Prob. 2STCh. 3.8 - Prob. 3STCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 17CTCh. 3 - Prob. 18CTCh. 3 - Prob. 19CTCh. 3 - Prob. 1CLRCh. 3 - Prob. 2CLRCh. 3 - Prob. 3CLRCh. 3 - Prob. 4CLRCh. 3 - Prob. 5CLRCh. 3 - Prob. 6CLRCh. 3 - Prob. 7CLRCh. 3 - Prob. 8CLRCh. 3 - Prob. 9CLRCh. 3 - Prob. 10CLRCh. 3 - Prob. 11CLRCh. 3 - Prob. 12CLRCh. 3 - Prob. 13CLRCh. 3 - Prob. 14CLRCh. 3 - Prob. 15CLRCh. 3 - Prob. 16CLRCh. 3 - Prob. 17CLRCh. 3 - Prob. 18CLRCh. 3 - Prob. 19CLRCh. 3 - Prob. 20CLRCh. 3 - Prob. 21CLRCh. 3 - Prob. 22CLRCh. 3 - Prob. 23CLRCh. 3 - Prob. 24CLRCh. 3 - Prob. 25CLRCh. 3 - Prob. 26CLRCh. 3 - Prob. 27CLRCh. 3 - Prob. 28CLRCh. 3 - Prob. 29CLRCh. 3 - Prob. 30CLRCh. 3 - Prob. 31CLRCh. 3 - Prob. 32CLRCh. 3 - Prob. 33CLRCh. 3 - Prob. 34CLRCh. 3 - Prob. 35CLRCh. 3 - Prob. 36CLRCh. 3 - Prob. 37CLRCh. 3 - Prob. 38CLRCh. 3 - Prob. 39CLRCh. 3 - Prob. 40CLRCh. 3 - Prob. 1MSCh. 3 - Prob. 2MSCh. 3 - Prob. 3MSCh. 3 - Prob. 4MSCh. 3 - Prob. 5MSCh. 3 - Prob. 6MSCh. 3 - Prob. 7MSCh. 3 - Prob. 8MSCh. 3 - Prob. 9MSCh. 3 - Prob. 10MSCh. 3 - Prob. 11MSCh. 3 - 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