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

Chapter 1.5, Problem 4WE

To determine

To describe: Whether the equation (a) or (b) is a translation of the given statement.

Expert Solution & Answer

Answer to Problem 4WE

Hence, the translation (a) 2x−4=9 of the statement is correct.

Explanation of Solution

Given information:

The given statement is four less than twice a number is nine: (a) 2x−4=9 and (b) 4−2x=9

Method used:

N less than y means addition of −N, i.e., y−N .

Calculations:

Let the number is x , then the statement reads “4 less than twice of x is 9”.

Mathematical form of the statement is two times of x minus 4 is 9.

Thus, translated statement is 2x−4=9 .

Hence, the translation (a) 2x−4=9 of the statement is correct.

Conclusion:

Hence, the translation (a) 2x−4=9 of the statement is correct.

Chapter 1.5, Problem 3WE

Chapter 1.5, Problem 5WE

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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