# Questions on Algebra: Equations answered by real tutors!

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 Algebra: Equations Solvers Lessons Answers archive Quiz In Depth

 Question 152463: Solve the system of equations. –0.5x + 3y = –2 –0.75x – 0.5y = –0.5 Click here to see answer by checkley77(12569)

 Question 152590: I need assistance in trying to show my work on the following problem. I know what the answer is, but i just dont know how to put it into an equation. You invest \$80 at a simple annual interest rate of 2%. How much simple interest would you earn in 1.5 years? Use unit analysis to check the units in your response. Thanks verry much Miranda (8th grade) Click here to see answer by jim_thompson5910(28598)

 Question 152598: What is "restriction" in regards to an equation? Click here to see answer by Earlsdon(6291)

 Question 152597: If 20 men assemble 8 cars in a day, how many men are needed to assemble 12 cars in a day? Click here to see answer by Earlsdon(6291)
 Question 152597: If 20 men assemble 8 cars in a day, how many men are needed to assemble 12 cars in a day? Click here to see answer by Edwin McCravy(8924)

 Question 152507: The ratio of two polynomials is called a: a. polynomial b. fraction c. rational expression d. function Click here to see answer by Edwin McCravy(8924)

 Question 152512: Completely factor the following: r(s) = 2s2 + st – 2s + t @ Normally, this would be solved by the “factor by grouping” method. However, this does not work here due to the last term being added, not subtracted. a. r(s) = 2(s + t)(s – 1) b. r(s) = (2s + t)(s – 1) c. This cannot be factored; it’s prime d. None of the above Click here to see answer by Edwin McCravy(8924)

 Question 152515: How many real zeroes are there in f(x) = (x + 3)(x – 4)(x + 6)(x^2 + 7)? @ This is fairly straightforward. Only the last factor results in imaginary solutions a. 3 b. 5 c. 4 d. None of the above Click here to see answer by mducky2(62)

 Question 152664: This cubic, c(x) = x^3 – 2x^2 – 24x, has zeroes at x ∈ {-2, 0, 6}. What is the approximate value of its local minimum? @ As an approximation, we treat cubics, and other higher-order polynomials, as quadratics between their zeroes. Then, recognizing that the local minimum is between the second two zeroes, the local minimum is found at the midpoint between these zeroes. a. -63 b. 21 c. 0 d. no way to know this Click here to see answer by Edwin McCravy(8924)

 Question 152541: The product of 3 and the sum of a number and 5 is the same as the product of -2 and the difference of the same number from 3. Find the number. Click here to see answer by ankor@dixie-net.com(15667)

 Question 152658: in interval notation, what is the domain of f(x) = 2x^3 - 4x - 7? Click here to see answer by Fombitz(13828)

 Question 152654: how many real zeros are there in f(x) = (x=3)(x-4)(x-6)(x^2+7) a. 3 b. 5 cd. 4 d. none of the above Click here to see answer by Fombitz(13828)

 Question 152669: Which of the following is a line parallel to y = ½x + 4? @ The slopes of parallel lines have the same slope values. a. y = ½x – ¼ b. y = 2x – 4 c. y = 2x – ¼ d. y = -2x Click here to see answer by checkley77(12569)

 Question 152667: What is the equation of the line that passes through (4, -2) and is perpendicular to y = 1? @ The line that is perpendicular to y = 1 must be vertical, so it has undefined slope. Hence, it can only be the x coordinate of the defined point: x = 4. a. y = ½x + 4 b. y = -2 c. Insufficient d. none of the above Click here to see answer by Alan3354(30993)

 Question 152651: how many solutions are there to |x+2| = 14 a. 1 b. 2 c. -16 d. none of the above Click here to see answer by mducky2(62)

 Question 152648: Solve for x: √(x-6)√(x-6) = 15 a. 225 b. 21 c. 231 d. no solution Click here to see answer by mducky2(62)

 Question 152766: how to write an equation. here is the problem: The perimeter of a square equals 4 times the length of a side. Click here to see answer by ankor@dixie-net.com(15667)

 Question 152773: My 6th grader has a challexpresions are always,sometimes, or never equal. explain your reasonings and include examples . x+4;x-4enge question that I am challenged with. The question states Tell whether the given Click here to see answer by Edwin McCravy(8924)

 Question 152673: Consider ; what is the new equation for if it is shifted up 6 units, shifted right 9 units, shifted down 4 units, shifted left 10 units, shifted down 2 units, and then shifted right 1 unit? @ This is definitional. a. b. c. d. It is still Click here to see answer by Edwin McCravy(8924)

 Question 152876: What is the range of standard exponential functions? also, exponential functions are asymptotic to the x-axis. a. f(x) ∈ (0, ∞) b. f(x) ∈ (-∞, ∞) c. f(x) ∈ [0, ∞) d. f(x) ∈ [1, ∞) Click here to see answer by jim_thompson5910(28598)

 Question 152879: logbM = logaM/logaB is an expression of the change of base property. a. ‘a’ b. M over b c. M – b d. None of the above; you have to know what b, M, and ‘a’ are first Click here to see answer by jim_thompson5910(28598)

 Question 152878: The best base to determine the solution to 2^2x + 1 = 4^x is: @ Since 4 is a multiple power of 2, 2 is the best base. a. b = 10 b. b = 2 c. b = e d. None of the above, there is no solution to the problem Click here to see answer by jim_thompson5910(28598)

 Question 152875: The Richter Scale is an example of the application of: a. Logarithmic functions b. Rational functions c. Polynomial functions d. All of the above Click here to see answer by jim_thompson5910(28598)

 Question 152874: Let Q(x) = x+1/x-1. If W(x) = Q(x) – 1, then W(x) = a. W(x) = x/x+1 b. W(x) = x/x-1 c. W(x) = 2/x-1 d. W(x) = 2x/x-1 Click here to see answer by jim_thompson5910(28598)

 Question 152872: Whose theorem is used to determine how many real zeroes are likely in this function, f(x) = 16x^4 – 3x^3 – 2x^2 + 8x? Apply Descartes' Rule of Signs. a. Pascal’s b. Einstein’s c. Penrose’s d. Descartes’ Click here to see answer by jim_thompson5910(28598)

 Question 152871: How many positive real solutions are there in f(x) = x^4 + 4x^3 + 6x^2 + 4x – 1 Apply Descartes' Rule of Signs. a. 1 b. 1 or 2 c. 4 or 2 d. 2 or 0 Click here to see answer by jim_thompson5910(28598)

 Question 152870: For about what value(s) of x does g(x) = k(x) if g(x) = x^3 + 2x^2 and k(x) = x^3 – x^2 + 6? a. x = ± 2.3 b. x ≈ 2.3 c. x ≈ ± 1.4 d. x ≈ 1.4 Click here to see answer by jim_thompson5910(28598)

 Question 152873: What is the equation of the slant asymptote for R(x) = x^2-6x+8/x-4? a. R(x) = x – 2 b. R(x) = 1 c. R(x) = -5x + 2 d. There is no slant asymptote Click here to see answer by Edwin McCravy(8924)

 Question 152862: Consider polynomial ; what is its maximum number of zeroes? @ The maximum number of zeroes = n, regardless of the value of n. a. 0 b. 1 c. Cannot be determined without first knowing the value of n d. None of the above Click here to see answer by Edwin McCravy(8924)

 Question 152863: Consider polynomial g(x) = x^n + 4x; what is its maximum number of zeroes? @ The maximum number of zeroes = n, regardless of the value of n. a. 0 b. 1 c. Cannot be determined without first knowing the value of n d. None of the above Click here to see answer by nabla(475)

 Question 152859: Which of the following is an 8th order equation? a. S(x) = x^8 + x^6 – 2x + 7 b. Q(x) = x^6(x^2 + 38) c. M(x) = (x^4)^2 – 12x + 4 d. All of the above Click here to see answer by nabla(475)

 Question 152857: Which of the following coefficients cannot be zero if p(x) is a parabola and of the form p(x) = a(x – k)^2 + h? @ For p(x) to be a parabola, a ≠ 0; else, p(x) would equal constant h. a. k b. h c. a d. -k Click here to see answer by nabla(475)

 Question 152868: What is the result of 16x^4 + 32x^3 + 24x^2 + 8x + 1 divided by 2x + 1? a. x^3 + 3x^2 + 3x + 1 b. 8x^3 + 12x^2 + 6x + 1 c. x^3 + 6x^2 + 4x d. 4x^3 + 6x^2 + 4x + 1 Click here to see answer by nabla(475)

 Question 152860: Which of the following pair of points is not indicative of a zero of function q(x) per the Intermediate Value Theorem? a. (2, 4) & (2, -3) b. (-2, -3) & (2, 3) c. (0, 1) & (1, -3) d. (3, -4) & (-6, 12) Click here to see answer by nabla(475)

 Question 152865: Consider g(x) = x^n + 4x^n - 1; what is the maximum number of turns it can have? @ The maximum number of turns = n – 1. a. n – 2 b. n – 1 c. n d. n + 1 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, 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