Questions on Algebra: Expressions involving variables, substitution answered by real tutors!

Tutors Answer Your Questions about Expressions-with-variables (FREE)

Question 100629: 8x=34-4x
Click here to see answer by tutorcecilia(2152)

Question 100613: Leah and Ryanne went for a bike ride into the country. They averaged 24 miles per hour on the way out and 18 miles per hour on the way back, by the same roads. Their total travel time was 7 hours. How far did they go?
Click here to see answer by checkley71(8403)

Question 100716: Marilyn had a bag of gold coins. She gave 1/8 of them to her mother and then gave 1/2 of what was left to her brother. She then gave 2/7 of what left to her dad. If she then had 25 coins left, how many did she have originally?
Click here to see answer by edjones(7569)

Question 100748: Could you please check this one?
-1/20(5Z-4W)-6(-1/30-6/24Z) I get 2/5W..is this correct??
Thanks!
Click here to see answer by stanbon(57361)

Question 100750: I thought I already submitted this but don't see it! Help please as I can't figure out the order of distribution, is it the 30(6+24) or the 1/2??

I have gotten 3 different answers and cannot help my son!!
Thanks!
Kim
Click here to see answer by stanbon(57361)

Question 100736: I have tried this with my son 4 times...could you please help!
3s+(-1/2){6+24(-1/3+1/4s)}
It's the order of operation in distributing the 30(6+24) or the -1/2 first.
Thanks,
Kim
Click here to see answer by stanbon(57361)

Question 100833: can someone show how to solve the system by elimination method. Show all steps and check the answer? Thanks!
x - 2y = -1
3X + y = 4
Click here to see answer by stanbon(57361)

Question 100833: can someone show how to solve the system by elimination method. Show all steps and check the answer? Thanks!
x - 2y = -1
3X + y = 4
Click here to see answer by doukungfoo(195)

Question 100837: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quanity 3 times x?
A. -6xsquared + 25x + 6
B. 6xsquared + 5x + 6
C. 6xsquared - 5x + 6
D. 6xsquared - 5x -6
E. 6xsquared - 13x - 6
Click here to see answer by stanbon(57361)

Question 100844: The sum of two numbers is 17. The second number is 2 more than twice the first number. Find the two numbers.
Click here to see answer by doukungfoo(195)

Question 100844: The sum of two numbers is 17. The second number is 2 more than twice the first number. Find the two numbers.
Click here to see answer by bucky(2189)

Question 100392: Okay. I'm horrible at Multistep Equations, so I'm asking for some assistance, obviously. Here's the problem:
)
2(y+2)+y = 19-(2y+3
I just need a walkthrough. I learn by example.
Click here to see answer by ankor@dixie-net.com(15656)

Question 100949: If I need to find the average of these numbers: 18+(-17)+(-22)+(16)+(0) do I count the 0 in my number of terms?? In other words, do I divide the total (5) by 4 or 5?
thanks.
Kim
Click here to see answer by stanbon(57361)

Question 100843: The sum of two numbers is 17. The second number is 2 more than twice the first number. Find the two numbers.
Click here to see answer by scott8148(6628)

Question 100983: 3x+8=26
Click here to see answer by doukungfoo(195)

Question 100842: Can Someone Please show me how to solve the system by substitution method. show all steps and check the answer.
2x - y = 2
-4x + 2y = -4
Click here to see answer by scott8148(6628)

Question 100841: Can Someone Please show me how to solve the system by elemination method. show all steps and check the answer.
2x - y = 2
-4x + 2y = -4
Click here to see answer by scott8148(6628)

Question 100839: Can Someone Please show me how to solve the system by substitution method. show all steps and check the answer.
2x - y = 2
-4x + 2y = -4
Click here to see answer by scott8148(6628)

Question 100831: Can Someone Please show me how to solve the system by substitution method. show all steps and check the answer.
x - 2y = -1
3X + y = 4
Click here to see answer by ankor@dixie-net.com(15656)

Question 100806: I am needing to perform the indicated operation and express the problem in lowest terms....can you please assist? Thank you.
2ab/a2(squared)- b2(squared) - b/a-b + 2
Click here to see answer by ankor@dixie-net.com(15656)

Question 101107: I'm doing a worksheet from Holt mathematics Lesson 1-1 Practice B and the directions are: Evaluate each expression for the given value of the varible. The question I am having problems on is #3: 1/4y for y=16. Could you please help me? I do not understand what do. Thank you for all your help.
Click here to see answer by checkley71(8403)

Question 101186: Please, I need help answering this problem:
Solve L=2mn+3n for m
I need to get m by itself, Thanks
Click here to see answer by Earlsdon(6287)

Question 101200: Please Help, I'm not quite sure if I answered this right or not but the question is, Solve A= 1/2 (b1 + b2)h for h
I have to get h by itself and I came up with 2A over b3 in fraction form =h is this right? if not could you please help me?. Thank You
Click here to see answer by Earlsdon(6287)

Question 101048: the Yankee Clipper leaves the pier at 9:00 am at 8 nautical miles per hour. A half hour later, the River Rover leaves the same pier in the same direction traveling at 10 nautical miles per hour. At what time will the River Rover overtake the Yankee Clipper. I know it has to do with the d=r/t formula but I have no idea how to set it up. Could you please help.
Click here to see answer by scott8148(6628)

Question 101471: I AM NOT SUER HOW TO WORK THIS PROBLEM SOLVING FOR Y.Y-1=-2/3(X+6). FIRST I GET RID OF THE FRACTION BY MULTIPLYING BY 3 WHICH CROSSES OUT ON THE 2/3 AND LEAVES 2. Y-1=2/3(X+6)= 3Y-1=2X+12 = 3Y=2X+12+1 DIVIDED BY 3= Y=2/3X+4-3 WHICH IS WRONG.WHAT AM I DOING WRONG

Click here to see answer by stanbon(57361)

Question 101513: I am at a loss and do not understand this Factoring. Please help me "Factor Completely" the following problem.
8x^2 – 200y^2??
I am at a loss as to even what to do first on this to even attempt to solve. Sorry! Please help? The following is additional directions from my Professor.
***Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime. Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).***
Click here to see answer by ptaylor(2048)

Question 101512: Can someone please help me to factor this problem completely
x^3 – 2x^2 + 7x – 14?? Here is what I have as an attempt:
Simplify:
x^3 - 4x + 7x - 14
Reorder terms:
14 - 11x +x^3
Combine like terms:
11x + x^3 = 11x^3
14-33x= -19x
Please help, I am lost and not sure if I am anywhere near correct. Additional directions from Professor include:
***Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime. Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).***
Click here to see answer by MathLover1(6634)

Question 101607: I'm lost, trying to figure out this problem. I started working my graph to show D=RT, but after that, I just don't get it. Please help! This is the problem:
On Wednesday, Roman drove to work in 45 minutes. On Thursday he averaged 12 miles per hour more, and it took him 9 minutes less to get to work. How far does he travel to work?
Click here to see answer by scott8148(6628)

Question 101763: x + y = 8384
x + z = 8221
What does x,y, and z equal?
Click here to see answer by Fombitz(13828)

Question 101829: For what integral values of k can 4x^2+kx+3 be factored over the integers?
Click here to see answer by ptaylor(2048)

Question 101838: the question says use the diagram to solve for x
the equation is 42=3x+y and y=x+2
Click here to see answer by edjones(7569)

Question 101839: solve 8t-r=12t for t
Click here to see answer by doukungfoo(195)

Question 101974: Can you help me divide and simplify:

18x^2+17+4/8x-12 divided by 9x^2+4x/24x-36
Click here to see answer by jim_thompson5910(28595)

Question 101952: use substitution to solve
x=2y+2
2x+3y=11
Click here to see answer by mathemanic(13)

Question 102143: Express the following rational expressions in lowest terms:
1) x/x+xy ---------> My answer was xy
2) 3x^2+6x/3x^2+9x ---------> My answer was 2/3
3) x^2+2x+1/x+1 ---------> My answer was x+2x
4) x62+3x-18/2x-6
5) 2x62-4x-6/x-3
I tried the first 3 but I am not sure if I am right. The last two I don't understand. thank you for any help you can give me.

Click here to see answer by checkley75(3666)

Question 102142: Explain why -5, 9, and -4 are not allowable replacements for the variable x in the following problem:
x-8/x+5 divide by x-9/x+4
Help!! I don't know what to do with this one. Thank you very much.
Click here to see answer by jim_thompson5910(28595)

Question 102077: Can you help me simplify without negative exponents [ x y 5 / x -4 y 2 ] -2
Click here to see answer by elima(1433)

Question 102148: Add or subtract the following:
1) x-7/3 - 4/3 -----> on this I have either -11x/3 or 4x/3
2) 1/x + x+2/x --------> on this one I came up with 3x/x
3) 4x-3/x-7 - 2x+8/x-7 --------> here I am not sure but I got 2x-5/x-7
4) x^2/x+3 + 9/x+3 -------> here I don't understand how to use the power
5) x^2+2x/3x - x^2+5x+6/3x ------> this one I don't know at all :(
Thank you for your help.

Click here to see answer by stanbon(57361)

Question 102264: A local gym charges nonmembers $8 per day to use the volleyball courts. Members pay a yearly fee of $150 and $2 per day to use the volleyball courts. Write and solve an equation to find how many days you must use the volleyball courts to justify becoming a member.
Click here to see answer by edjones(7569)

Question 102263: -12 1/5 - 3 3/10
Im Not Quite Sure How To DO This Problem. I know i simplify it first
-12 2/10 - 3 3/10
THEN WHAT???
please help me out and show the steps
THANK YOU
Conner
Click here to see answer by edjones(7569)

Question 102294: subtract the following:
x^2+2x/3x - x^2+5x+6/3x

I came up with x^4+5x+6/3x...is that right?
I need step by step if my answer is wrong. Thank you so much for all your help.
Click here to see answer by edjones(7569)

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, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800