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 1.3, Problem 31WE

To determine

The solution of the equation 9+9r=81 over the domain {0,1,2,3,4,5,6,7,8,9} .

Expert Solution & Answer

Answer to Problem 31WE

{8}

Explanation of Solution

Given information:

The given equation is 9+9r=81 .

The given domain is {0,1,2,3,4,5,6,7,8,9} .

Calculation:

Substitute the value of r=0 in the given equation.

9+9(0)=819+0=819≠81

Substitute the value of r=1 in the given equation.

9+9(1)=819+9=8118≠81

Substitute the value of a=2 in the given equation.

9+9(2)=819+18=8127≠81

Substitute the value of r=3 in the given equation.

9+9(3)=819+27=8136≠81

Substitute the value of r=4 in the given equation.

9+9(4)=819+36=8145≠81

Substitute the value of r=5 in the given equation.

9+9(5)=819+45=8154≠81

Substitute the value of r=6 in the given equation.

9+9(6)=819+54=8163≠81

Substitute the value of r=7 in the given equation.

9+9(7)=819+63=8172≠81

Substitute the value of r=8 in the given equation.

9+9(8)=819+72=8181=81

Substitute the value of r=9 in the given equation.

9+9(9)=819+81=8190≠81

So, the solution set over the domain is {8} .

Chapter 1.3, Problem 30WE

Chapter 1.3, Problem 32WE

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

Ch. 1.1 - Prob. 1OE Ch. 1.1 - Prob. 2OE Ch. 1.1 - Prob. 3OE Ch. 1.1 - Prob. 4OE Ch. 1.1 - Prob. 5OE Ch. 1.1 - Prob. 6OE Ch. 1.1 - Prob. 7OE Ch. 1.1 - Prob. 8OE Ch. 1.1 - Prob. 9OE Ch. 1.1 - Prob. 10OE

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The solution of the equation 9 + 9 r = 81 over the domain { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } .

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