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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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 1.6, Problem 11P

To determine

To translate each problem into an equation and to find the amount of money did each spend.

Expert Solution & Answer

Answer to Problem 11P

Required equation: x+x+2=34 .

Barry spent = $16.

Amanda spent =$18.

Explanation of Solution

Given information:

Amanda spends $2 more than Barry and together they spend $34.

Calculation:

Let the amount that Barry spends = $ x .

According to first condition

The amount that Amanda spends ($2 more than Barry spends) =$(x+2).

Now, according to second condition (total amount spend together is $34), the equation would become

x+x+2=34

Now, we need to solve above equation for x .

Combine like terms

2x+2=34

Subtracting 2 on both sides

2x+2−2=34−2⇒2x=32

Dividing both sides by 2

2x2=322⇒x=16

Therefore, Barry spent= $16.

And the amount that Amanda spent =x+2=16+2=$18.

Chapter 1.6, Problem 10P

Chapter 1.6, Problem 12P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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