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

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Question

Chapter 6.1, Problem 13OE

To determine

To calculate:Whether the algebraic fraction can be simplified or not 4x−6y4x+6y.

Expert Solution & Answer

Answer to Problem 13OE

Yes, the algebraic fraction can be simplified as 2x−3y2x+3y.

Explanation of Solution

Given information:

The expression 4x−6y4x+6y.

Formula used:

The simplest form of an algebraic fraction is when numerator and denominator have no common factor other than 1 and −1 .

Calculation:

Consider the expression 4x−6y4x+6y.

Recall that the simplest form of an algebraic fraction is when numerator and denominator have no common factor other than 1 and −1 .

Since, 2 can be taken out common from both numerator and denominator. So, the fraction can be simplified further as,

4x−6y4x+6y=2(2x−3y)2(2x+3y)=2x−3y2x+3y

Thus, the algebraic fraction can be simplified further as 2x−3y2x+3y.

Chapter 6.1, Problem 12OE

Chapter 6.1, Problem 14OE

Chapter 6 Solutions

Algebra: Structure And Method, Book 1

Ch. 6.1 - Prob. 1OE Ch. 6.1 - Prob. 2OE Ch. 6.1 - Prob. 3OE Ch. 6.1 - Prob. 4OE Ch. 6.1 - Prob. 5OE Ch. 6.1 - Prob. 6OE Ch. 6.1 - Prob. 7OE Ch. 6.1 - Prob. 8OE Ch. 6.1 - Prob. 9OE Ch. 6.1 - Prob. 10OE

Ch. 6.1 - Prob. 11OE Ch. 6.1 - Prob. 12OE Ch. 6.1 - Prob. 13OE Ch. 6.1 - Prob. 14OE Ch. 6.1 - Prob. 15OE Ch. 6.1 - Prob. 16OE Ch. 6.1 - Prob. 1WE Ch. 6.1 - Prob. 2WE Ch. 6.1 - Prob. 3WE Ch. 6.1 - Prob. 4WE Ch. 6.1 - Prob. 5WE Ch. 6.1 - Prob. 6WE Ch. 6.1 - Prob. 7WE Ch. 6.1 - Prob. 8WE Ch. 6.1 - Prob. 9WE Ch. 6.1 - Prob. 10WE Ch. 6.1 - Prob. 11WE Ch. 6.1 - Prob. 12WE Ch. 6.1 - Prob. 13WE Ch. 6.1 - Prob. 14WE Ch. 6.1 - Prob. 15WE Ch. 6.1 - Prob. 16WE Ch. 6.1 - Prob. 17WE Ch. 6.1 - Prob. 18WE Ch. 6.1 - Prob. 19WE Ch. 6.1 - Prob. 20WE Ch. 6.1 - Prob. 21WE Ch. 6.1 - Prob. 22WE Ch. 6.1 - Prob. 23WE Ch. 6.1 - Prob. 24WE Ch. 6.1 - Prob. 25WE Ch. 6.1 - Prob. 26WE Ch. 6.1 - Prob. 27WE Ch. 6.1 - Prob. 28WE Ch. 6.1 - Prob. 29WE Ch. 6.1 - Prob. 30WE Ch. 6.1 - Prob. 31WE Ch. 6.1 - Prob. 32WE Ch. 6.1 - Prob. 33WE Ch. 6.1 - Prob. 34WE Ch. 6.1 - Prob. 35WE Ch. 6.1 - Prob. 36WE Ch. 6.1 - Prob. 37WE Ch. 6.1 - Prob. 38WE Ch. 6.1 - Prob. 39WE Ch. 6.1 - Prob. 40WE Ch. 6.1 - Prob. 41WE Ch. 6.1 - Prob. 42WE Ch. 6.1 - 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Whether the algebraic fraction can be simplified or not 4 x − 6 y 4 x + 6 y .

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To calculate:Whether the algebraic fraction can be simplified or not 4x−6y4x+6y.

Answer to Problem 13OE

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