Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 39771: simplify
x-y/x-(y-z) - z-x/(y-x) - z
Click here to see answer by tran3209(100)

Question 39862: Simplify the following expression and write answer with positive exponents only.

(a^-3)^2(a^4)divided by (a^-3)^-3

Click here to see answer by stanbon(75887)

Question 39864: The cost of producing x units of an item is C = 150+25x. The revenue for selling x units is R = 90x - x^2. The profit is given by the revenue minus the cost. Find the polynomial that represents profit.
Click here to see answer by stanbon(75887)

Question 39866: The length of a rectangle is given by 3x + 5cm and the width is given by 2x - 7cm. Express the area of the rectangle in terms of x.

Click here to see answer by stanbon(75887)

Question 39868: Find the following product
x(x-2)(x+2)
Click here to see answer by stanbon(75887)

Question 39869: Suppose an orchard is planted with trees in straight rows. If there are 5x - 4 rows with 5x - 4 trees in each row, how many trees are there in the orchard?
Click here to see answer by stanbon(75887)

Question 39874: Find the value of c so that
y^2 - y + c divided by y + 1 = y-2
Click here to see answer by wuwei96815(245)

Question 39874: Find the value of c so that
y^2 - y + c divided by y + 1 = y-2
Click here to see answer by stanbon(75887)

Question 39872: Divide
x^4 + 2x^2 - 2
divided by
x^2 + 3
Click here to see answer by fractalier(6550)

Question 39870: Perform the indicated division
x^2 + 5x + 6
divided by
x + 2
Click here to see answer by fractalier(6550)

Question 39871: Divide
4x^3 + 7x^2 + 10x + 5
divided by
4x - 1
Click here to see answer by fractalier(6550)

Question 39867: Let x represent the number and then write an expression for the product.
The product of 6 more than a number and 6 less than that number.
Can someone tell me it this is correct and if not please help.
x = (n times 6) + (x - 6)
Click here to see answer by fractalier(6550)

Question 39863: Megrez, the nearest of the Big Dipper stars, is 6.6 x 10^17m from the Earth. Approximately how long does it take light, traveling at 10^16m/year, to travel from Megrez to the Earth?
Click here to see answer by fractalier(6550)

Question 39902: What is the completely factored form of 25x^4-4x^2?
Click here to see answer by checkley71(8403)

Question 39904: Rewrite the middle term as the sum of two terms and then factor completely.

12w^2 + 19w + 4
Click here to see answer by checkley71(8403)

Question 39905: Rewrite the middle term as the sum of two terms and then factor completely.
4z^3 - 18z^2 - 10z
Click here to see answer by Fermat(136)

Question 39953: Tim is twice as old as his son. In 6 yrs Tim�s age will be three times what his sons age was 6 years ago. How old is Tim�s son now?
thank you
Click here to see answer by Paul(988)

Question 39963: Anna went to the grocery store. she bough 3 oranges and 6 apples. she paid $4.50. Maria went to the same store and bough 2 oranges and 2 apples. Her cost was $2.10. How much would 1 apple cost?
thanx
Click here to see answer by stanbon(75887)

Question 39979: In an endurance race, Alyson rode her bike 7 miles less than Jeff. Together they rode 39 miles. How far did Jeff Ride?
Click here to see answer by Nate(3500)

Question 39977: simplify this problem
6x^2-54
________=
4x^2-36
thanx
Click here to see answer by Nate(3500)

Question 39982: An airplane flew for 6 hrs against a tail wind of 25km/hr. The return trip with the samewind took 5 hrs. Find the speed of the plane still in the air.
thanx
Click here to see answer by stanbon(75887)

Question 39974: simplify this problem
9x^3-3x^2
_________
3x
thanx
Click here to see answer by Nate(3500)

Question 39983: It took Canoe A 1.5hrs to travel from Duck Wharf to Buglers Bay. Its rate in still water was 12km/hr but it was going with the current. Canoe B was traveling at 14 km /hr in still water but it was going from Burglers Bay to Duck Wharf and the current was going against it. It took Canoe B 5 hrs to make the trip. What was the rate of the current?
thanx
Click here to see answer by Paul(988)

Question 39981: To get to his parents house John must travel at a speed of 60m/hr on land then use a motor boat whos speed is 20 mi/hr in still water. John goes by land to a dock and then travels on a river against a current of 4 mi/hr. He reaches his parents home in 4.5 hrs. The return trip takes him 3.5 hrs. How far does his parents live from his house?
thanx
Click here to see answer by Paul(988)

Question 39978: Raul found that by increasing his speed by 5 km/hr, he could drive 12km in 0.2 hrs. What was his original speed?
____kilometers per hour
thanx
Click here to see answer by Paul(988)

Question 40003: Greta has 45 minutes before her Job interview. She is 15 miles away from the interview. How fast must she drive to be on time?
thanx
Click here to see answer by stanbon(75887)

Question 40004: The square of 9 more than a number is equal to 9 more than the square of the number. What is the number?
thanx
Click here to see answer by fractalier(6550)

Question 39924: Four times the square of a number is 16. find the number.

thank you
Click here to see answer by fractalier(6550)

Question 39745: (4x-2 / x�-5x) / (2x�+9x-5 / x�-25)

Click here to see answer by hackercracker(2)

Question 40017: The sum of the digits of a two digit number is 9. if the digits were reversed the new number would be 9 more than the original number. find the original number.
Click here to see answer by Jaime(3)

Question 40016: The sum of the digets of a two digit number is 10. if the digets were reversed, the new number would be 54 less than the original number. find the original number.
thanx
Click here to see answer by longjonsilver(2297)

Question 40014: The 4 children were born 1 yr apart. the oldest is 12. how old are the other 3 children from oldest to youngest?
thanx
Click here to see answer by longjonsilver(2297)

Question 40011: Markita bought a roll of carpeting 8.5 ft wide. The maximum area the carpet will cover is at most 136sq ft. What is the largest possible length of the carpet?
thanx
Click here to see answer by longjonsilver(2297)

Question 40005: Find 4 consecutive odd integers if the product of the two smaller integers is 112 less than the product of the two larger integers.
thanx
Click here to see answer by longjonsilver(2297)

Question 40012: Tony had 13 bills in his wallet. They were all 5�s or 10�s. The total amount of money in his wallet was $90. How many 5�s in his wallet?

heres another ? thanxs soooooo much!!!!!!!!!!!!!!!!!
There were 200 tickets sold at the school play. Tickets were $2 for students and $3 for adults. The total amount collected was $490. How many tickets were sold?
thanx
Click here to see answer by stanbon(75887)

Question 40002: A boat can travel from its dock to a town down river with a 7 mile per hour current in 10 hours. The return trip against the same current takes 15 hours. What is the speed of the boat still in the water?
____ miles per hour
thanx
Click here to see answer by stanbon(75887)

Question 40015: A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many quarters in the jar?
thanx
Click here to see answer by AnlytcPhil(1806)

Question 40000: A train left Shawnee traveling due west at 90 miles per hour. A car left Shawnee at the same time traveling due east at 60 miles per hour. How long will it take before the train and car are 405 miles apart? Put in nearest tenth of an hour.
thanx
Click here to see answer by fractalier(6550)

Question 39928: Sean earns $4.50 per hour more than his trainee, Tyrone. During one 8 hour day they earn a total of $284. How much does Sean make per hour?
Thank you
Click here to see answer by fractalier(6550)

Question 39923: If a number is added to its square the result is 56. find the number.

thank you
Click here to see answer by fractalier(6550)

Question 40010: A jar of dimes and quarters contained $10.95 There were at 93 coins in the jar. How many dimes?
thanx
Click here to see answer by fractalier(6550)

Question 39961: During an election campaign a candidate gave away 5000 little advertisements. The pens she gave away cost $.23 cents each and the little bumper stickers cost $.14 cents each. He spent a total of $970.00. How many pens did he give away?

thanx
Click here to see answer by fractalier(6550)

Question 39908: Use the ac test to determine if the following trinomial can be factored. Find the values of m and n if the trinomial can be factored.

x^2 - 3x + 7
Click here to see answer by venugopalramana(3286)

Question 39960: Mrs. Perrin spent twice as much money on sheet music as she did on CD�s. The total amount of money she spent for Sheet music and CDS was 1/3 of her monthly music budget of $189. How much did she spend on CDS?

thanx
Click here to see answer by fractalier(6550)

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, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105