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.

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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 1.7, Problem 4P

To determine

To calculate: Solve using the five-step plan. Write out each step. A choice of possible numbers for one unknown is given.One number is four times another number. The larger number is also 87 more than the smaller number. Find the numbers.

Choices for the smaller number: 29, 30, 33

Expert Solution & Answer

Answer to Problem 4P

smallest number a=29 and larger number 4a=116

Explanation of Solution

Given information: One number is four times another number and the larger number is also 87 more than the smaller number.

Calculation:

Step 1: Here we have two unknowns.

Step 2: Let a be the smaller number, so that 4a is larger number.

Step 3: As given, larger number is 87 more than the smaller number such that 4a=a+87

Step 4: Choices for a are given as 29, 30, 33

a	4a=a+87	True / False
29	4(29)=29+87=116	True
30	4(30)=30+87=117	False
33	4(33)=33+87=120	False

From above table we can say that smallest number a=29 and larger number 4a=116

Step 5: Now we verify the answer

one number is four times of another number: 4*29=116 , which is correct

Larger number is 87 more than the smaller number: 39+87=116 , which is also correct.

Chapter 1.7, Problem 3P

Chapter 1.7, Problem 5P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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Solve using the five-step plan. Write out each step. A choice of possible numbers for one unknown is given.One number is four times another number. The larger number is also 87 more than the smaller number. Find the numbers. Choices for the smaller number: 29, 30, 33

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To calculate: Solve using the five-step plan. Write out each step. A choice of possible numbers for one unknown is given.One number is four times another number. The larger number is also 87 more than the smaller number. Find the numbers. Choices for the smaller number: 29, 30, 33

Answer to Problem 4P

Explanation of Solution

Chapter 1 Solutions

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To calculate: Solve using the five-step plan. Write out each step. A choice of possible numbers for one unknown is given.One number is four times another number. The larger number is also 87 more than the smaller number. Find the numbers.

Choices for the smaller number: 29, 30, 33