Questions on Algebra: Absolute value answered by real tutors!

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Question 644592: solve each word problem
1.during the day , the tempeture in the desert reaches 109F, but at right when the sun goes down, the tempeture drops 35. what is the tempeture in the desert at night?

2.The avarage tempeture in San Francisco during the winter month is 20C. In New York , the tempeture avarages to be 34 below that of San Francisco .What would the tempeture be in NY?
Click here to see answer by jim_thompson5910(35256)

Question 644593: write each of the following using exponential notation.
1.a x a x b x b x c x c x c x c
2.2 times 2 times x times x times x times y times z times z
3.(-3)x(-3) times p times p times q times q times q times q times q times q

4.j times j times k times j times j times k times k times j times k times j times j times j times k
Click here to see answer by jim_thompson5910(35256)

Question 644626: Solve 2|5x − 2| + 4 = 18 for x.
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Question 644627: Solve for x: −2|x − 3| = −12
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Question 644642: I am trying to find the intercepts of f(x) is equal to the absolute value of x+2.
Click here to see answer by stanbon(75887)

Question 644682: Solve the following inequality. Write the answer in interval notation.
1/[x+3]>=8
[ and ] are vertical lines.
Please help me! I do not understand this at all!
Thank you:)

Click here to see answer by lynnlo(4176)

Question 644731: Absolute Value Expression:
|x+2| divided by x+2
Answer is: 1 for x>-2; undefined for x=-2; -1 for x<-2
Can you explain the steps for this expression?
Click here to see answer by jim_thompson5910(35256)

Question 644897: I have the answer to my problem, 2x-7<9
answer -1 my problem is that i do not know how to show the work needed to get to the answer,
i am allowed to use a calculator, but i CANNOT figure out how to show the steps!
ANY help would be greatly Appreciated
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 645474: The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm?
Click here to see answer by sachi(548)

Question 646687: (6-(6-4)+5)*5 equals ?
Click here to see answer by nerdybill(7384)

Question 646700: How to do these??
1 : q - 3 r = 2 for r
2: 3g+7= 11g-17
3: -8+4y=Y- 6+3y- 2
4: 7+3d- S=-1+2d- 12+d
5: 2fgh-3g= 10 forh
Thanks In advance
Click here to see answer by MathLover1(20850)

Question 646988: I don't understand how to do this problem:
2 |4-n| = -3n
Click here to see answer by ankor@dixie-net.com(22740)

Question 646956: What is the absolute value of -51
Click here to see answer by colliefan(242)

Question 647364: Hi, I'm in a hybrid math class at my college, so i don't get to see my teacher for another week and i have no idea how to do this problem. Can you please help me?
I don't understand the "K" rule:
K={K if K>(or equal to)0
{-K if K< 0
I have an example from my book here: (I am just having a hard time with this because my book does not explain anything.)
absol. (x-2)^2 absol.
I thought you would do this: (x-2)(x-2) and multiply: x^2+4
The answer in the book says (x-2)^2 is the answer along with: absol.K absol.=K if K> (or equal to) 0
I dont understand how to find out what K rule to use if there is no real number value.
Thank you,
Sydney
Click here to see answer by ewatrrr(24785)

Question 647394: whats the word for the property of -1 for any number a, -1(a)=a(-1)=-a
Click here to see answer by MathLover1(20850)

Question 647674: Professor I'm doing solving absolute value equations. And I know u have to do the property of a negative to the other problem but this problem already has a negative. I hope I make sense. The equation is: /5x-2/ = -7 ...since 7 is a negative, after solving this my answer should be just (-1) correct? Thank you!
Click here to see answer by Edwin McCravy(20060)

Question 647934: |8x|+56> or equal to 40
Click here to see answer by lwsshak3(11628)

Question 648330: What is the values of a and b that make the statement |a+ b| = |a| + |b| false.
Click here to see answer by jim_thompson5910(35256)

Question 648725: -5-(-34)+32+40-(-11)
Click here to see answer by rfer(16322)

Question 649237: im trying to find the answer to 3|x+7|=12

Click here to see answer by Alan3354(69443)

Question 649370: |3x+6|=9
Click here to see answer by jim_thompson5910(35256)

Question 649372: |6-2x|=6
Click here to see answer by jim_thompson5910(35256)

Question 649513: Professor I'm confused with this inequality. |-4x-7| > -4 The answer would be (-infinity,infinity) right? The rules with the signs are confusing. Thank you so much.
Click here to see answer by Edwin McCravy(20060)

Question 649642: How does 5 more than two thirds of a number look like is it 5+2 time 3 + f

Click here to see answer by checkley79(3341)

Question 649875: what does x equal in this equation: 5 |2x |-6=24
thank you
Click here to see answer by jim_thompson5910(35256)

Question 649875: what does x equal in this equation: 5 |2x |-6=24
thank you
Click here to see answer by lynnlo(4176)

Question 650025: please help me solve this equation 1/4|2-x/3|= 4
Click here to see answer by unlockmath(1688)

Question 650156: What is the name of the expression inside absolute value bars? For example, the expression under a radical is called the radicand.
Click here to see answer by lynnlo(4176)

Question 650296: Just to make sure if I followed the lesson correctly,
how do I solve |1/2|, do I turn it into a decimal and put the - sign saying that it is a negative decimal sign? or like should I just drop the invisible + sign (saying it's a positive) and replace it with a visible - sign (where it's negative).
Because then I would get -0.05 and I don't think that's even close to right.
Click here to see answer by jim_thompson5910(35256)

Question 650544: 4- the absolute value of 2-15
Click here to see answer by lynnlo(4176)

Question 650651: 1)|x-6|=2
2)|4n|=20
3)|x/2|=2
4)|-3-7n|=60
5)|4m-3|=33

Click here to see answer by kekegeter (97)

Question 650743: Hi,
I'd like some assistance with the following problem which is giving me a bit of a fit.
Find the sum of the solutions to:

|x-14| = 0.25|x-21| + 2
One of the solutions that I get is 14.33333 but, again, I'm trouble with the rest of the problem. Please help!
Thank you.
Click here to see answer by Aaniya(63)

Question 651121: how do i solve the following inequality?
the absolute value of 7-3y divided by 2 < 1 (the whole fraction is absolute valued)
Click here to see answer by lwsshak3(11628)

Question 651624: I am working on an absolute value inequality for my algebra class. The problem is 9[1-z] is less than or equal to -36. For this questions [] represent absolute value.
To solve this I used two cases of absolute value.
The first case is -(1-z)=<-4. I added one to each side of the equation to come up with z=<-3.
The second case is (1-z)=<-4. I added 1 to each side to get -z=<-5. Then I divided by -1. After dividing and flipping the sign I came up with z=>5.
The answer needs to be in set notation so the answer I came up with was [-3,5].
When I submitted my answer it was marked incorrect and I am not sure why. I honestly thought I was doing this correctly and I do not know where I messed up.
*For this question =< and => represent less than or equal to and greater than or equal to.
Click here to see answer by Theo(13342)

Question 651699: |x+13|=|x-10| what is the set solution?
Click here to see answer by Edwin McCravy(20060)

Question 651913: What steps do I take to solve |-5-6| -2 |28-(-5)| ?
Click here to see answer by jim_thompson5910(35256)

Question 651926: What steps do I take to solve -2|x+4|+10(less than or equal to) 16?
Click here to see answer by lwsshak3(11628)

Question 651978: Hello,
I need to see the steps to solving this equation: |z+8| = |z-3|
my text book said the answer is -5/2.
I am just not getting that result. Help please.
Click here to see answer by Edwin McCravy(20060)

Question 652197: Ax+By=C for x
Click here to see answer by jim_thompson5910(35256)

Question 652148: What are the two answers to |4w-1|=5w+37
Click here to see answer by jim_thompson5910(35256)

Question 652268: /2z-3/=4z-1
Click here to see answer by Shana-D77(132)

Question 652746: preform the addition simplify if possible 9/3x + 4/2x =

Click here to see answer by rfer(16322)

Question 652985: Pleasehelp solve: 3x+2y=3
Click here to see answer by solver91311(24713)

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