High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 1.5, Problem 78PPSE
Solution

To solve the equation 0.4x+1.18=3.120.01x and check the answer.

  x=20

Given:

The equation, 0.4x+1.18=3.120.01x .

Concept Used:

  • The opposite operation of addition is subtraction and the opposite operation of subtraction is addition.
  • The opposite operation of multiplication is division and the opposite operation of division is multiplication.
  • Distributive property: ab+c=ab+ac

Calculation:

In order to solve the given equation 0.4x+1.18=3.120.01x , isolate the variable on one side by performing the basic algebraic operations as shown below

  0.4x+1.18=3.120.01x0.4x+1.18=6.2+0.031x0.4x0.031x+1.18=6.2+0.031x0.031x0.369x+1.18=6.20.369x+1.181.18=6.21.180.369x=7.380.369x0.369=7.380.369x=20

Thus, the solution of the equation is x=20 .

In order to check the solution, substitute back x=20 into the given equation and show that the left side expression is equal to the right-side expression as shown below

  0.4x+1.18=3.120.01x0.420+1.18=3.120.01208+1.18=3.12+0.26.82=3.12.26.82=6.82 True statement

Thus, x=20 is the solution of the equation.

Chapter 1 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 1.1 - Prob. 11PPSECh. 1.1 - Prob. 12PPSECh. 1.1 - Prob. 13PPSECh. 1.1 - Prob. 14PPSECh. 1.1 - Prob. 15PPSECh. 1.1 - Prob. 16PPSECh. 1.1 - Prob. 17PPSECh. 1.1 - Prob. 18PPSECh. 1.1 - Prob. 19PPSECh. 1.1 - Prob. 20PPSECh. 1.1 - Prob. 21PPSECh. 1.1 - Prob. 22PPSECh. 1.1 - Prob. 23PPSECh. 1.1 - Prob. 24PPSECh. 1.1 - Prob. 25PPSECh. 1.1 - Prob. 26PPSECh. 1.1 - Prob. 27PPSECh. 1.1 - Prob. 28PPSECh. 1.1 - Prob. 29PPSECh. 1.1 - Prob. 30PPSECh. 1.1 - Prob. 31PPSECh. 1.1 - Prob. 32PPSECh. 1.1 - Prob. 33PPSECh. 1.1 - Prob. 34PPSECh. 1.1 - Prob. 35PPSECh. 1.1 - Prob. 36PPSECh. 1.1 - Prob. 37PPSECh. 1.1 - Prob. 38PPSECh. 1.1 - Prob. 39PPSECh. 1.1 - Prob. 40PPSECh. 1.1 - Prob. 41PPSECh. 1.1 - Prob. 42PPSECh. 1.1 - Prob. 43PPSECh. 1.1 - Prob. 44PPSECh. 1.1 - Prob. 45PPSECh. 1.1 - Prob. 46PPSECh. 1.1 - Prob. 47PPSECh. 1.1 - Prob. 48PPSECh. 1.1 - Prob. 49PPSECh. 1.1 - Prob. 50PPSECh. 1.1 - Prob. 51PPSECh. 1.1 - Prob. 52PPSECh. 1.1 - Prob. 53PPSECh. 1.1 - Prob. 54PPSECh. 1.1 - Prob. 55PPSECh. 1.1 - Prob. 56PPSECh. 1.1 - Prob. 57PPSECh. 1.2 - Prob. 1LCCh. 1.2 - Prob. 2LCCh. 1.2 - Prob. 3LCCh. 1.2 - Prob. 4LCCh. 1.2 - Prob. 5LCCh. 1.2 - Prob. 6LCCh. 1.2 - Prob. 7LCCh. 1.2 - Prob. 8LCCh. 1.2 - Prob. 9LCCh. 1.2 - Prob. 10PPSECh. 1.2 - Prob. 11PPSECh. 1.2 - Prob. 12PPSECh. 1.2 - Prob. 13PPSECh. 1.2 - Prob. 14PPSECh. 1.2 - Prob. 15PPSECh. 1.2 - Prob. 16PPSECh. 1.2 - Prob. 17PPSECh. 1.2 - Prob. 18PPSECh. 1.2 - Prob. 19PPSECh. 1.2 - Prob. 20PPSECh. 1.2 - Prob. 21PPSECh. 1.2 - Prob. 22PPSECh. 1.2 - Prob. 23PPSECh. 1.2 - Prob. 24PPSECh. 1.2 - Prob. 25PPSECh. 1.2 - Prob. 26PPSECh. 1.2 - Prob. 27PPSECh. 1.2 - Prob. 28PPSECh. 1.2 - Prob. 29PPSECh. 1.2 - Prob. 30PPSECh. 1.2 - Prob. 31PPSECh. 1.2 - Prob. 32PPSECh. 1.2 - Prob. 33PPSECh. 1.2 - Prob. 34PPSECh. 1.2 - Prob. 35PPSECh. 1.2 - Prob. 36PPSECh. 1.2 - Prob. 37PPSECh. 1.2 - Prob. 38PPSECh. 1.2 - Prob. 39PPSECh. 1.2 - Prob. 40PPSECh. 1.2 - Prob. 41PPSECh. 1.2 - Prob. 42PPSECh. 1.2 - Prob. 43PPSECh. 1.2 - Prob. 44PPSECh. 1.2 - Prob. 45PPSECh. 1.2 - 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Prob. 50PPSECh. 1.4 - Prob. 51PPSECh. 1.4 - Prob. 52PPSECh. 1.4 - Prob. 53PPSECh. 1.4 - Prob. 54PPSECh. 1.4 - Prob. 55PPSECh. 1.4 - Prob. 56PPSECh. 1.4 - Prob. 57PPSECh. 1.4 - Prob. 58PPSECh. 1.4 - Prob. 59PPSECh. 1.4 - Prob. 60PPSECh. 1.4 - Prob. 61PPSECh. 1.4 - Prob. 62PPSECh. 1.4 - Prob. 63PPSECh. 1.4 - Prob. 64PPSECh. 1.4 - Prob. 65PPSECh. 1.5 - Prob. 1LCCh. 1.5 - Prob. 2LCCh. 1.5 - Prob. 3LCCh. 1.5 - Prob. 4LCCh. 1.5 - Prob. 5LCCh. 1.5 - Prob. 6LCCh. 1.5 - Prob. 7LCCh. 1.5 - Prob. 8LCCh. 1.5 - Prob. 9LCCh. 1.5 - Prob. 10PPSECh. 1.5 - Prob. 11PPSECh. 1.5 - Prob. 12PPSECh. 1.5 - Prob. 13PPSECh. 1.5 - Prob. 14PPSECh. 1.5 - Prob. 15PPSECh. 1.5 - Prob. 16PPSECh. 1.5 - Prob. 17PPSECh. 1.5 - Prob. 18PPSECh. 1.5 - Prob. 19PPSECh. 1.5 - Prob. 20PPSECh. 1.5 - Prob. 21PPSECh. 1.5 - Prob. 22PPSECh. 1.5 - Prob. 23PPSECh. 1.5 - Prob. 24PPSECh. 1.5 - Prob. 25PPSECh. 1.5 - Prob. 26PPSECh. 1.5 - Prob. 27PPSECh. 1.5 - Prob. 28PPSECh. 1.5 - Prob. 29PPSECh. 1.5 - Prob. 30PPSECh. 1.5 - Prob. 31PPSECh. 1.5 - Prob. 32PPSECh. 1.5 - Prob. 33PPSECh. 1.5 - Prob. 34PPSECh. 1.5 - Prob. 35PPSECh. 1.5 - Prob. 36PPSECh. 1.5 - Prob. 37PPSECh. 1.5 - Prob. 38PPSECh. 1.5 - Prob. 39PPSECh. 1.5 - Prob. 40PPSECh. 1.5 - Prob. 41PPSECh. 1.5 - Prob. 42PPSECh. 1.5 - Prob. 43PPSECh. 1.5 - Prob. 44PPSECh. 1.5 - Prob. 45PPSECh. 1.5 - Prob. 46PPSECh. 1.5 - Prob. 47PPSECh. 1.5 - Prob. 48PPSECh. 1.5 - Prob. 49PPSECh. 1.5 - Prob. 50PPSECh. 1.5 - Prob. 51PPSECh. 1.5 - Prob. 52PPSECh. 1.5 - Prob. 53PPSECh. 1.5 - Prob. 54PPSECh. 1.5 - Prob. 55PPSECh. 1.5 - Prob. 56PPSECh. 1.5 - Prob. 57PPSECh. 1.5 - Prob. 58PPSECh. 1.5 - Prob. 59PPSECh. 1.5 - Prob. 60PPSECh. 1.5 - Prob. 61PPSECh. 1.5 - Prob. 62PPSECh. 1.5 - Prob. 63PPSECh. 1.5 - Prob. 64PPSECh. 1.5 - Prob. 65PPSECh. 1.5 - Prob. 66PPSECh. 1.5 - Prob. 67PPSECh. 1.5 - Prob. 68PPSECh. 1.5 - Prob. 69PPSECh. 1.5 - Prob. 70PPSECh. 1.5 - Prob. 71PPSECh. 1.5 - Prob. 72PPSECh. 1.5 - Prob. 73PPSECh. 1.5 - Prob. 74PPSECh. 1.5 - Prob. 75PPSECh. 1.5 - Prob. 76PPSECh. 1.5 - Prob. 77PPSECh. 1.5 - Prob. 78PPSECh. 1.6 - Prob. 1LCCh. 1.6 - Prob. 2LCCh. 1.6 - Prob. 3LCCh. 1.6 - Prob. 4LCCh. 1.6 - Prob. 5LCCh. 1.6 - Prob. 6LCCh. 1.6 - Prob. 7LCCh. 1.6 - Prob. 8LCCh. 1.6 - Prob. 9LCCh. 1.6 - Prob. 10PPSECh. 1.6 - Prob. 11PPSECh. 1.6 - Prob. 12PPSECh. 1.6 - Prob. 13PPSECh. 1.6 - Prob. 14PPSECh. 1.6 - Prob. 15PPSECh. 1.6 - Prob. 16PPSECh. 1.6 - Prob. 17PPSECh. 1.6 - Prob. 18PPSECh. 1.6 - Prob. 19PPSECh. 1.6 - Prob. 20PPSECh. 1.6 - Prob. 21PPSECh. 1.6 - Prob. 22PPSECh. 1.6 - Prob. 23PPSECh. 1.6 - Prob. 24PPSECh. 1.6 - Prob. 25PPSECh. 1.6 - Prob. 26PPSECh. 1.6 - Prob. 27PPSECh. 1.6 - Prob. 28PPSECh. 1.6 - Prob. 29PPSECh. 1.6 - Prob. 30PPSECh. 1.6 - Prob. 31PPSECh. 1.6 - Prob. 32PPSECh. 1.6 - Prob. 33PPSECh. 1.6 - Prob. 34PPSECh. 1.6 - Prob. 35PPSECh. 1.6 - Prob. 36PPSECh. 1.6 - Prob. 37PPSECh. 1.6 - Prob. 38PPSECh. 1.6 - Prob. 39PPSECh. 1.6 - Prob. 40PPSECh. 1.6 - Prob. 41PPSECh. 1.6 - Prob. 42PPSECh. 1.6 - Prob. 43PPSECh. 1.6 - Prob. 44PPSECh. 1.6 - Prob. 45PPSECh. 1.6 - Prob. 46PPSECh. 1.6 - Prob. 47PPSECh. 1.6 - Prob. 48PPSECh. 1.6 - Prob. 49PPSECh. 1.6 - Prob. 50PPSECh. 1.6 - Prob. 51PPSECh. 1.6 - Prob. 52PPSECh. 1.6 - Prob. 53PPSECh. 1.6 - Prob. 54PPSECh. 1.6 - Prob. 55PPSECh. 1.6 - Prob. 56PPSECh. 1.6 - Prob. 57PPSECh. 1.6 - Prob. 58PPSECh. 1.6 - Prob. 59PPSECh. 1.6 - Prob. 60PPSECh. 1.6 - Prob. 61PPSECh. 1.6 - Prob. 62PPSECh. 1.6 - Prob. 63PPSECh. 1.6 - Prob. 64PPSECh. 1.6 - Prob. 65PPSECh. 1.6 - Prob. 66PPSECh. 1.6 - Prob. 67PPSECh. 1.6 - Prob. 68PPSECh. 1.6 - Prob. 69PPSECh. 1.6 - Prob. 70PPSECh. 1.6 - Prob. 71PPSECh. 1.6 - Prob. 72PPSECh. 1.6 - Prob. 73PPSECh. 1.6 - Prob. 74PPSECh. 1.6 - Prob. 75PPSECh. 1.6 - Prob. 76PPSECh. 1.6 - Prob. 77PPSECh. 1.6 - Prob. 78PPSECh. 1.6 - Prob. 79PPSECh. 1.6 - Prob. 80PPSECh. 1.6 - Prob. 81PPSECh. 1.6 - Prob. 82PPSECh. 1.6 - Prob. 83PPSECh. 1.6 - Prob. 84PPSECh. 1.6 - Prob. 85PPSECh. 1.6 - Prob. 86PPSECh. 1.6 - Prob. 87PPSECh. 1.6 - Prob. 88PPSECh. 1.6 - Prob. 89PPSECh. 1.6 - Prob. 90PPSECh. 1.6 - Prob. 91PPSECh. 1.6 - Prob. 92PPSECh. 1.6 - 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Prob. 14MCQCh. 1 - Prob. 15MCQCh. 1 - Prob. 16MCQCh. 1 - Prob. 17MCQCh. 1 - Prob. 18MCQCh. 1 - Prob. 19MCQCh. 1 - Prob. 20MCQCh. 1 - Prob. 21MCQCh. 1 - Prob. 22MCQCh. 1 - Prob. 23MCQCh. 1 - Prob. 24MCQCh. 1 - Prob. 25MCQCh. 1 - Prob. 26MCQCh. 1 - Prob. 27MCQCh. 1 - Prob. 1CVCh. 1 - Prob. 2CVCh. 1 - Prob. 3CVCh. 1 - Prob. 4CVCh. 1 - Prob. 5ECh. 1 - Prob. 6ECh. 1 - Prob. 7ECh. 1 - Prob. 8ECh. 1 - Prob. 9ECh. 1 - Prob. 10ECh. 1 - Prob. 11ECh. 1 - Prob. 12ECh. 1 - Prob. 13ECh. 1 - Prob. 14ECh. 1 - Prob. 15ECh. 1 - Prob. 16ECh. 1 - Prob. 17ECh. 1 - Prob. 18ECh. 1 - Prob. 19ECh. 1 - Prob. 20ECh. 1 - Prob. 21ECh. 1 - Prob. 22ECh. 1 - Prob. 23ECh. 1 - Prob. 24ECh. 1 - Prob. 25ECh. 1 - Prob. 26ECh. 1 - Prob. 27ECh. 1 - Prob. 28ECh. 1 - Prob. 29ECh. 1 - Prob. 30ECh. 1 - Prob. 31ECh. 1 - Prob. 32ECh. 1 - Prob. 33ECh. 1 - Prob. 34ECh. 1 - Prob. 35ECh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - 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