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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Expert Solution & Answer
Chapter 1.6, Problem 18PPSE
Solution
To solve the equation |4−z|−10=1 and check the answer.
−7 and 15
Given:
The equation, |4−z|−10=1 .
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: a(b+c)=a⋅b+a⋅c
- The absolute value property: if |x|=a,thenx=±a
Calculation:
In order to solve the given equation |4−z|−10=1 , use the absolute value property and isolate the variable on one side by performing the basic algebraic operations as shown below
|4−z|−10=1|4−z|−10+10=1+10|4−z|=114−z=±114−4−z=±11−4−z=±11−4z=∓11+4z=−11+4and z=11+4z=−7and z=15
Thus, the solution of the equation are −7 and 15 .
In order to check the solution, substitute back z=−7 and z=15 into the given equation one by one and show that the left side expression is equal to the right-side expression as shown below
|4−z|−10=1|4−(−7)|−10=1|4+7|−10=1|11|−10=111−10=11=1True statement
And,
|4−z|−10=1|4−15|−10=1|−11|−10=111−10=11=1True statement
Thus, z=−7 and z=15 are 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. 1LCCh. 1.1 - Prob. 2LCCh. 1.1 - Prob. 3LCCh. 1.1 - Prob. 4LCCh. 1.1 - Prob. 5LCCh. 1.1 - Prob. 6LCCh. 1.1 - Prob. 7LCCh. 1.1 - Prob. 8PPSECh. 1.1 - Prob. 9PPSECh. 1.1 - Prob. 10PPSE
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. 3LCCh. 1.4 - Prob. 4LCCh. 1.4 - Prob. 5LCCh. 1.4 - Prob. 6LCCh. 1.4 - Prob. 7LCCh. 1.4 - Prob. 8LCCh. 1.4 - Prob. 9LCCh. 1.4 - Prob. 10PPSECh. 1.4 - Prob. 11PPSECh. 1.4 - Prob. 12PPSECh. 1.4 - Prob. 13PPSECh. 1.4 - Prob. 14PPSECh. 1.4 - Prob. 15PPSECh. 1.4 - Prob. 16PPSECh. 1.4 - Prob. 17PPSECh. 1.4 - Prob. 18PPSECh. 1.4 - Prob. 19PPSECh. 1.4 - Prob. 20PPSECh. 1.4 - Prob. 21PPSECh. 1.4 - Prob. 22PPSECh. 1.4 - Prob. 23PPSECh. 1.4 - Prob. 24PPSECh. 1.4 - Prob. 25PPSECh. 1.4 - Prob. 26PPSECh. 1.4 - Prob. 27PPSECh. 1.4 - Prob. 28PPSECh. 1.4 - Prob. 29PPSECh. 1.4 - Prob. 30PPSECh. 1.4 - Prob. 31PPSECh. 1.4 - Prob. 32PPSECh. 1.4 - Prob. 33PPSECh. 1.4 - Prob. 34PPSECh. 1.4 - Prob. 35PPSECh. 1.4 - Prob. 36PPSECh. 1.4 - Prob. 37PPSECh. 1.4 - Prob. 38PPSECh. 1.4 - Prob. 39PPSECh. 1.4 - Prob. 40PPSECh. 1.4 - Prob. 41PPSECh. 1.4 - Prob. 42PPSECh. 1.4 - Prob. 43PPSECh. 1.4 - Prob. 44PPSECh. 1.4 - Prob. 45PPSECh. 1.4 - Prob. 46PPSECh. 1.4 - Prob. 47PPSECh. 1.4 - Prob. 48PPSECh. 1.4 - Prob. 49PPSECh. 1.4 - 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 - 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