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 3.5, Problem 3P

To determine

To find: the value of number described

Expert Solution & Answer

Answer to Problem 3P

The value of the number described is 7

Explanation of Solution

Given information: “A number whose product with 9 is same as its sum with 56”

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.

“same as” means =

“product” means times

“sum” means +

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 number that we are trying to find. Rewrite the sentence by replacing the number with x .

The product of x with 9 is the same as its sum with 56.

Replace the keywords to get an equation representing the sentence given

9x=x+56

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

9x−x=x+56−x

Combine like terms on both sides

8x=56

Divide by 8 on both sides of the equation

8x8=568

Simplify fraction on both sides of the equation

x=7

Conclusion:

A number whose product with 9 is same as its sum with 56 is 7

Chapter 3.5, Problem 2P

Chapter 3.5, Problem 4P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

Ch. 3.1 - Prob. 1OE Ch. 3.1 - Prob. 2OE Ch. 3.1 - Prob. 3OE Ch. 3.1 - Prob. 4OE Ch. 3.1 - Prob. 5OE Ch. 3.1 - Prob. 6OE Ch. 3.1 - Prob. 7OE Ch. 3.1 - Prob. 8OE Ch. 3.1 - Prob. 9OE Ch. 3.1 - Prob. 10OE

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