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

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Question

Chapter 3.5, Problem 1ST

To determine

To find: the cost of the shirt

Expert Solution & Answer

Answer to Problem 1ST

The cost of the shirt is $21

Explanation of Solution

Given information: “A $48 sweater cost $6 more than twice as much as the shirt that goes with it”

Concept Involved:

Assign variable for the unknown that we need to find. Use the keywords in the statement to rewrite the statement to meaningful math equation.

“is” means =

“more than” means +

“twice” means 2 times

Solve the equation by getting the variable in one side of the equation and undoing whatever is done to it by performing reverse operation.

Calculation: Let ‘ x’ be the cost of the shift that we are trying to find. Rewrite the sentence by replacing the cost of shirt with x .

48 is 6 more than twice as much as x

Replace the keywords to get an equation representing the sentence given

48=6+2x

Use the symmetric property of identity which states that if a=b , then b=a to rewrite the equation.

6+2x=48

In the process of getting x in one side of the equation subtract 6 on both sides of the equation

2x+6−6=48−6

Combine like terms on both sides

2x=42

Divide by 2 on both sides of the equation

2x2=422

Simplify fraction on both sides of the equation

x=21

Conclusion:

The cost of the shirt is $21

Chapter 3.5, Problem 6CE

Chapter 3.5, Problem 2ST

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

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