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02.07 Absolute Value Equations (Honors Only)
Offline Bladez

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#1
02.07 Absolute Value Equations (Honors Only)

Well i need help on these Question i Been trying to work it out
i got 1. a 2. a 3.b and other haven't solved

Question 1 : Solve for x: |x − 2| + 10 = 12
  1. x = 0 and x = 4
  2. x = −4 and x = 0
  3. x = −20 and x = 4
  4. No Solution

Question 2: Solve for x: |3x + 2| = 2
  1. x = 0 and x = -4/3
  2. x = 4/3 and x = -4/3
  3. x = 0
  4. No Solutions

Question 3: Solve for x: |x| − 8 = −5
  1. x = −13 and x = −3
  2. x = 3 and x = −3
  3. x = 3 and x = 13
  4. No Solution

Question 4: Solve for x: −5|x + 1| = 10
  1. x = 0
  2. x = −3 and x = 1
  3. x = −1 and x = 3
  4. No solution

Question 5: Solve for x: |x| = 6
  1. x = 6
  2. x = −6
  3. x = 0 and x = 6
  4. x = 6 and x = −6

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19 Jul 2013, 03:50 PM
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Offline SmG Darkfire

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#2
Re: 02.07 Absolute Value Equations (Honors Only)

i fell asleep after reading the word equation
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19 Jul 2013, 03:53 PM
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Away SmG PDrilla

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#3
Re: 02.07 Absolute Value Equations (Honors Only)

I just posted here I think it got deleted, but anyways for #4 it's B I believe...
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19 Jul 2013, 03:56 PM
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Offline Hexbane

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#4
Re: 02.07 Absolute Value Equations (Honors Only)

I didnt check that the first 3 were correct, but Question 4 is No Solution; or D, because you will never get a negative with an absolute value, and Question 5 is both 6 and -6; or D

EDIT: just checked, you got the first 3 correct as well
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19 Jul 2013, 03:57 PM
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Offline SmG Dragonrage

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#5
Re: 02.07 Absolute Value Equations (Honors Only)

Yup hexbane got it right. There are your answers.
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19 Jul 2013, 04:18 PM
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Offline Hexbane

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#6
Re: 02.07 Absolute Value Equations (Honors Only)

what math is this lol?
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19 Jul 2013, 04:28 PM
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Offline Ray88

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#7
Re: 02.07 Absolute Value Equations (Honors Only)

you guys should also explain ur answer
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Offline Sman545

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#8
Re: 02.07 Absolute Value Equations (Honors Only)

You got the others correct, this is actually pretty simple math so yay.
All I do is just grab random answer choices and plug them in.


Question 4

Solve for x: −5|x + 1| = 10

It would be D since there is no way the answer would come out positive since you are multiplying it with a negative number, and it is absolute value.

Question 5

Solve for x: |x| = 6
It would be D since the absolute value of both 6 and -6 would be positive 6 leading for the equation to work. Since the first two are included in D those are crossed out, and since 0 cannot equal 6 that one is out too.
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19 Jul 2013, 04:57 PM
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Offline Supa

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#9
Re: 02.07 Absolute Value Equations (Honors Only)

How to solve absolute value equations.

step one: Treat the equation as the absolute value is positive. Then solve for x
step two: Multiply everything in the absolute value sign by -1. Distribute the negative sign. Then solve for x.

Follow those two steps and you should have no problem.

Got a B+ n Calc 2 so I know how to work math ;)

Every post has given you an answer by simply plugging in the "values" from each answer and seeing if it makes sense. However sometimes you won't be given multiple choice. So that is how you solve for x with absolute value signs.

Here is an example:

|4x-(.5)| + 15 = 7

Positive route:

4x - (1/2) + 15 = 7
4x = -15/2 (combine like terms)
x = -15/8 (divide both sides by 4)

Negative route:

-(4x - (1/2)) + 15 = 7
-4x + (1/2) + 15 = 7 (distribute the -1)
-4x = -17/2 (combine like terms)
x = 17/8 (divide by -4)

x = {-15/8, 17/8}
19 Jul 2013, 05:48 PM
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Offline SlingshoT

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#10
Re: 02.07 Absolute Value Equations (Honors Only)

I just got mad after reading the whole o.O thing.
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19 Jul 2013, 06:59 PM
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