Questions on Algebra: Absolute value answered by real tutors!

Tutors Answer Your Questions about absolute-value (FREE)

Question 211444: |5x+2| - 10 = -3 and |5x+2| - 10 <= -3
I have to explain the difference in the answers. I was able to get with the first equation:
5x+2=7 OR -5x-2=7
5x=5 OR -5x=9
x=1 OR x=-9/5
I am not sure if I am even on the right track here. I am not sure on the second problem if I solve it the same way with the greater than/equal to sign.
Click here to see answer by Theo(3458)

Question 211439: ok this is a word problem "what happens to the absolute value of an expression if you take the opposite of the expression before taking the absolute value?"

Click here to see answer by Theo(3458)

Question 211557: the equation |x| = -a where A is a positive interger, what can be said about the solution? how would you modify the value of A so that you would have a solution to |x| = -a of +- a?
Click here to see answer by jim_thompson5910(28476)

Question 211558: I have tried these problems a few times and cannot come up with a solution...help!
a) 3|x|+12=7
b) 5|x+3| +6=3
c) 12-|2x+7>=14
Click here to see answer by jim_thompson5910(28476)

Question 211737: if y<-7, evaluate the expression
(absolute value of y+7) over y+7
Click here to see answer by math problem solving(30)

Question 211738: given the function f(x)= 3 abs(x-6) calculate the following values
1.) f(x+1)
2.) f(x^2+2)
Click here to see answer by Theo(3458)

Question 211440: One other word problem "Explain the relationship (>,<,or =) between the values of a given expressions: |-7| and the opposite of -7
Click here to see answer by RAY100(1637)

Question 211843: what is the value of x in the equatioon below:
3x+7=2x-1
Click here to see answer by jim_thompson5910(28476)

Question 211857: Please could you help find the value of x in the following equation:
2(x+1)=3x
Many thanks
Click here to see answer by jim_thompson5910(28476)

Question 211857: Please could you help find the value of x in the following equation:
2(x+1)=3x
Many thanks
Click here to see answer by RAY100(1637)

Question 211884: Please could you help to find the value of "x" in the following equation?
3(2x+1)=8x-5
Thanks in advance
Click here to see answer by ichudov(499)

Question 211889: 0>3x-3-6
Click here to see answer by checkley77(12569)

Question 211878: 3* absolute value of p-5 = 2p
Click here to see answer by Earlsdon(6287)

Question 212237: Y= |-4+1| - 2
Click here to see answer by ichudov(499)

Question 212238: Y= |-3+1| - 2
Click here to see answer by ichudov(499)

Question 212238: Y= |-3+1| - 2
Click here to see answer by drj(1380)

Question 212220: What is the absolute value of 9/19? Do I have to change 9/19 into a decimal?
Click here to see answer by drj(1380)

Question 212315: |2x|-6=4
Click here to see answer by Earlsdon(6287)

Question 212315: |2x|-6=4
Click here to see answer by rapaljer(4667)

Question 212311: i need help with this question i have tried one of these ways but everytime i did it it woldnt work please help me

Click here to see answer by checkley77(12569)

Question 212311: i need help with this question i have tried one of these ways but everytime i did it it woldnt work please help me

Click here to see answer by stanbon(57219)

Question 212385: explain why the graphs of y=x and y=(root x)^2 are not the same
Click here to see answer by jim_thompson5910(28476)

Question 212470: I am currently tryin to solve an absolute value equation with an absolute value on both sides. The equation is |-x+4|=|4x+2| and I cannot solve it because the example I've been given to follow is inadequite, the example equation in my book is |x+5|=|2x+1| the book solves it like so,
|x+5|=|2x+1|
x+5=2x+1
5=x+1
4=x

or x+5=-(2x+1)
x+5=-2x-1
3x+5=-1
3x=-6
x=-2
Unfortunately this has put me at a loss because the book only shows this example and offers no explanation for the magical dissapearence of the x the 2 or the 1 in the first solution, nor does it show how the -(2x+1) became -2x-1 or where 3x came from or where -2x even went for that matter in the second solution. Would someone please be so kind to resolve the example with one hundred percent of the steps and not just the important ones so that i can understand where exactly these values are coming from or going too then maybe i will understand it better.
Click here to see answer by Earlsdon(6287)

Question 212721: which ordered pair is the vertex of y=[x+2]-1?
Click here to see answer by stanbon(57219)

Question 212820: What other number has the same absolute value as 52?
Click here to see answer by Earlsdon(6287)

Question 212810: What steps would I take to solve the absolute value of |(x+1)/(2x-3)|<2?
Click here to see answer by jsmallt9(3296)

Question 212810: What steps would I take to solve the absolute value of |(x+1)/(2x-3)|<2?
Click here to see answer by Theo(3458)

Question 212926: I have done this problem many times and can't find the solution!
Michael tosses a horseshoe at a stake 30 ft. away. The horseshoe lands no more than 3 ft. from the stake. write an absolute value inequality that represents the range of distances that the horseshoe travels. Solve the inequality.
Thanks for all the help!
Click here to see answer by rapaljer(4667)

Question 213449: I have a word problem to solve. I saw it solved on here before, submitted it to my teacher and it was wrong. Could somebody please help me with this one!
Michael tosses a horseshoe at a stake 30 ft. away. The horseshoe lands no more than 3 ft. from the stake. Writa an absolute value inequality that represents the range of distance that the horseshoe travels. Solve the inequality.
This is the one I saw here before:
Ix-30I<+3
-3<=x-30<=3
-3+30<=x-30<=3+30
27<=x<=33
Thanks for the help!
Click here to see answer by stanbon(57219)

Question 213512: what is the absolute value of 1 1/2
Click here to see answer by Sunshine1245(9)

Question 213512: what is the absolute value of 1 1/2
Click here to see answer by solver91311(16868)

Question 213558: 5|4-6|-4|-3+8|=
Click here to see answer by math problem solving(30)

Question 213596: Please help me with 4+3/3-1\
Click here to see answer by Alan3354(30959)

Question 213619: absoulute value
-0.02

Click here to see answer by stanbon(57219)

Question 213619: absoulute value
-0.02

Click here to see answer by RAY100(1637)

Question 211978: |p-4| is greater than or equal to 3
Click here to see answer by saki1002(2)

Question 211897: What is P? 3|p-5|=2p
Click here to see answer by saki1002(2)

Question 213752: Find f(m+1)if f(x)=[x^2+3x]
Click here to see answer by algebrapro18(206)

Question 213944: I am working on Absolute Value Equations and it says to solve the equation and check your solutions
[x+15]=37
Click here to see answer by checkley77(12569)

Question 214283: Solve Inequality: absolute value {-6m + 2} > 20
Click here to see answer by checkley77(12569)

Question 214277: Write and solve the absolute value inequality: all real numbers less than 1 unit from 4.5
Click here to see answer by stanbon(57219)

Question 214388: find the exact positive value of c which makes the area under the graph of y=c(1-x^2)and above the Xaxis equal to 1.
Click here to see answer by Alan3354(30959)

Question 214420: |-2|
Click here to see answer by jim_thompson5910(28476)

Question 214460: find all of the possible solutions for x that satisfy the following inequality |-(x+2)^2 +1| greater than or equal to 1.

Click here to see answer by stanbon(57219)

Question 214857: The arrival time t of train B must be at least 5 minutes different from the 4:00 P.M. arrival time of train A.
So far I have,
absolute value of tb-? is greater than or equal to 1/12
I cannot figure out what should be subtracted from train b.
Click here to see answer by josmiceli(9649)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105