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 12P

To determine

To translate each problem into an equation and to find the number of items in each list.

Expert Solution & Answer

Answer to Problem 12P

Required equation: x+x+7=33 .

Number of items in each list are 13 and 20.

Explanation of Solution

Given information:

Difference of two grocery list is 7 and total number of items in both list is 33.

Calculation:

Let, the number of items of first grocery = x

Then the number of items of second grocery = x+7

The total number of items = 33.

According to given statement, total of x and x +7 is 33.

x+x+7=33

Now, we need to solve above equation for x .

Combine like terms

2x+7=33

Subtract 7 on both sides

2x+7−7=33−7⇒2x=26

Divide by 2 on both sides

2x2=262⇒x=13

Therefore, the number of items in first grocery list = 13 items.

And the number of items of second grocery = x+7=13+7=20 items.

Chapter 1.6, Problem 11P

Chapter 1.6, Problem 13P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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