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

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

Question 83882: please help with factoring trinomials problem 2x^2+4x-2x^3
Click here to see answer by stanbon(57967)

Question 83882: please help with factoring trinomials problem 2x^2+4x-2x^3
Click here to see answer by Nate(3500)

Question 83880: Factoring trinomials for x^3-x^2+2x-2
I am returning to school after a long period and need someone to explain this problem to me...thanks.
Click here to see answer by stanbon(57967)

Question 83886: 4t^2+4t+1 Factor experssion

Click here to see answer by Nate(3500)

Question 83964: 3x^2-5x+2
I need this explained....answer is (3x-2)(x-1)
Click here to see answer by jim_thompson5910(28715)

Question 83961: 4t^2+4t+1 answer is (2t=1)^2
Could you explain this equation to me. I'm stumpt!
Click here to see answer by jim_thompson5910(28715)

Question 83963: These are Fraction Expressions. Could you explain how to work them?
5x/4 + 1/2 = x - 1/2
The answer is -4

Click here to see answer by Nate(3500)

Question 84130: The total profit for a company in Feb. was 20% higher than it was in Jan. The total profit for the two months was $157,498. Find the profit for each month.
I know there is a formula for this was but I can't figure it out.
The answer is Jan. 71,590.00 Feb. 85,908
Click here to see answer by checkley75(3666)

Question 84132: x/x+4 + 4/x+4 +2 =0

I need help on this problem.
Click here to see answer by checkley75(3666)

Question 84131: 5x-4/5x+4 =2/3
I need help with this please.
Click here to see answer by checkley75(3666)

Question 84275: Solve the system by substitution.
3x + 4y = 6
y = 2x – 4

Click here to see answer by checkley75(3666)

Question 84268: factor completely
6x^2+13x+33
Click here to see answer by checkley75(3666)

Question 84260: help me please x^2-14xy+40y^2
Click here to see answer by checkley75(3666)

Question 84330: simplify experession 2r-5+6r=
Click here to see answer by funmath(2925)

Question 84466: For what Values of p will the expression p+8x-3x^2 always be positive?
Click here to see answer by venugopalramana(3286)

Question 84473: Could anyone shorten this problem for me. It's a page long!
Fraction expression:
The answer is
I worked it but I think I may have put useless steps inside. Thanks! :-)
Click here to see answer by Edwin McCravy(8999)

Question 84551: Let F(x)= 4 + 5x and g(x) = 2x-1. Find f(g(x)) and g(f(x))
f(g(x)) = 4 + 5 (2x-1)
= 4+10x-5
=10x-1
g(f(x))= 2(4+5x)-1
=8+10x-1
10x+7

Click here to see answer by funmath(2925)

Question 84591: How would I write these two expressions in simplest form?
4x-28/5x-35

4r^2-25s^2/2r^2+3rs-20s^2
Click here to see answer by venugopalramana(3286)

Question 84685: solve using Q. F. Formula x=-b+- sq b-4ac/2a

2x^2+x-1=0 the answer is 1/2,1

I'm new to these so please help....thanks!
Click here to see answer by Earlsdon(6294)

Question 84683: solve using Q. F. Formula x=-b+- sq b-4ac/2a

2x^2+x-1=0 the answer is 1/2,1

I'm new to these so please help....thanks!
Click here to see answer by uma(370)

Question 84681: solve x by factoring
3+5x-2x^2=0

The answer is2, -1/2
I worked this one but not sure if my working is correct could you please work it out for me....thanks!
Click here to see answer by scott8148(6628)

Question 84680: quadratic equation completing the square
x^2+4x-32=0
please work this one for me I'm stumped....answer is 4,-8
Click here to see answer by scott8148(6628)

Question 84717: Here is my question:
Arturo is driving at a speed of 50mph. At 2:00 he sees the following sign.
Applebee 11 mi
Beauville 41 mi
Caanan 62mi
Denton 98mi
Arturo continues at the same speed. At 2:30 how far from Caanan will he be?
A. 12mi
B. 16mi
C. 25mi.
D. 26mi.
E 37mi.

I plugged in the formula for d=rt and got fifteen miles, then subtracted this from the distance to Cannan and got 47mi. The answer is 37mi. E
Can you please let me know where I went wrong here?
Thank you.
Click here to see answer by bucky(2189)

Question 84742: is 9+w=c an expression?
Click here to see answer by tutorcecilia(2152)

Question 84861: solve for y: 3y = (y-2)/(x-1)
Click here to see answer by jim_thompson5910(28715)

Question 84870: Find the value of c such that z^2 + 10z + c is a perfect square.
Click here to see answer by jim_thompson5910(28715)

Question 84984: Investment
You plan to invest $25,000 in two funds paying 3% and 4 1/2% simple interest. YOur goal is to obtain a total annual interest income of $1,000 from the investments. What is the smallest amount you can invest in the 4 1/2 % fund in order to meet your objective?
The answer is $16,666.67 I want someone else to work this one to see if I worked it right.....thanks!
Click here to see answer by stanbon(57967)

Question 85110: Hello!
Can you please assist me with the problem: c/d + 2. I know that the answer is c+2d/d, but I do not understand how that came to be. Your help is much appreciated, more questions to come...
v
Click here to see answer by stanbon(57967)

Question 85111: Hello!
Can you please help me make sense of the following problem?
c - d
------
1 - 1
- -
d c
or (c-d / 1/d - 1/c)
My answer of -2d-2c is VERY wrong! Thank you.
v
Click here to see answer by stanbon(57967)

Question 85136: I think I have a trick question, here goes. I really need help, please.
The volume of the box is represented (x^2+5x+6)(x+5). Find the polynomial that represents the area of the bottom of the box.
I have a diagram of a perfect square the side of the square is the expression x+2. I cannot figure it out. Can you help
Click here to see answer by checkley75(3666)

Question 85157: I am really struggling,it says write each expression in the simplest form
4r^2-25s^3
2r^2+3rs-20s^2
what is throwing me is the combination of adding and then subtracting.
please show me how to do this.

Click here to see answer by tutorcecilia(2152)

Question 85284: Which of the ordered pairs
(0, 0), (–2, 10), (–1, –5), (–3, 9)
are solutions for the equation y = 5x?

Click here to see answer by Edwin McCravy(8999)

Question 85285: Use the indicated property to write an expression that is equivalent to the following expression.
(7 • 5) •2 (associative property of multiplication)

Click here to see answer by Lacey020991(49)

Question 85282: A tank can be emptied thru either of 2 pipes, the 1st pipe empties the tank in 4hours. The 2nd pipe empties in 3hours. how long will it take to emptythe tank using both pipes
Click here to see answer by stanbon(57967)

Question 85345: Evaluate each of the expressions if a = -2, b = 5, c = -4, and d = 6
b2 – 2bc + c2
Click here to see answer by checkley75(3666)

Question 85346: Multiplying and dividing real numbers
-5^2 - 3
Click here to see answer by checkley75(3666)

Question 85346: Multiplying and dividing real numbers
-5^2 - 3
Click here to see answer by rapaljer(4667)

Question 85357: evaluate each of the expressions if a=-2 b=5, c=-4, and d = 6
4b + 5d - c/a
Click here to see answer by bucky(2189)

Question 85367: Solve each of the following by subtraction.
5x – 2y = -5 y – 5x = 3
8x – 4y = 16 y = 2x – 4
4x – 12y = 5 -x + 3y = -1
10x + 2y = 7 y = -5x + 3
Click here to see answer by checkley75(3666)

Question 85354: . A triangle has sides 3x + 7, 4x – 9, and 5x + 6. Find the expression that represents its perimeter.
Click here to see answer by bucky(2189)

Question 85366: Solve each of the following by subtraction.
5x – 2y = -5 y – 5x = 3
8x – 4y = 16 y = 2x – 4
4x – 12y = 5 -x + 3y = -1
10x + 2y = 7 y = -5x + 3
Click here to see answer by jim_thompson5910(28715)

Question 85278: Divide 4d^9m^6.10d^9m^6 / 2d^9m^9
Click here to see answer by jim_thompson5910(28715)

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