# Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!

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 Question 457442: Four more than twice a number is twelve. What is the number? 4+ 2x=12 I'm not sure but was thinking this is how to start the equation with the answer being x=4 Click here to see answer by nerdybill(7090)

 Question 457433: What is the remainder when 2x^4 - 4x^2 + 2x + 1 is divided by 2x - 3. Please show step. Click here to see answer by Edwin McCravy(9716)

 Question 457878: how do u find the answer to 1/4(g-8) using the distributive property to simplify the expression? Click here to see answer by rfer(13569)

 Question 457941: its asking me to state the property that justifies each statements ex.(7+4)+6=7+(4+6) but I don't know the difference in the properties Click here to see answer by richwmiller(10272)
 Question 457941: its asking me to state the property that justifies each statements ex.(7+4)+6=7+(4+6) but I don't know the difference in the properties Click here to see answer by richard1234(5390)

 Question 458258: The problem asks to use the commutative law and write an equivalent expression for 5(8+x) Click here to see answer by rfer(13569)
 Question 458258: The problem asks to use the commutative law and write an equivalent expression for 5(8+x) Click here to see answer by jim_thompson5910(29613)

 Question 458419: Factor the expression 25u^2-20uv+4v^2 This is what I tried by using 3 Term Regular Factoring: a*c= 25*4 b= 20 My two numbers are -10 and -10 25u^2-20uv+4v^2 25u^2- -10uv - 10uv + 4v^2 5u(5u+2v) 2v(5u+2v) (5u+2v)(5u+2v) I'm not sure if I carried the - signs correctly through the problem. Click here to see answer by stanbon(60771)

 Question 458433: Factor the expression: (x-1)^3+1 This is as far as I got: (x-1) (x-1) (x-1)+1 Then I tried to factor by grouping the four terms x-1(1) 1(x-1) I'm lost. Click here to see answer by richwmiller(10272)
 Question 458433: Factor the expression: (x-1)^3+1 This is as far as I got: (x-1) (x-1) (x-1)+1 Then I tried to factor by grouping the four terms x-1(1) 1(x-1) I'm lost. Click here to see answer by Alan3354(34673)

 Question 458650: What property proves that if a is greater than -b, and -b is greater than c, that a is greater than c? Click here to see answer by robertb(4012)

 Question 458957: A jet liner hits an air pocket & drops 216 feet. After climbing 173 feet, it drops another 119 feet. What is its overall vertical change? Click here to see answer by rfer(13569)

 Question 459643: having trouble with this foil method (7x – 2)(4x – 3) Click here to see answer by Edwin McCravy(9716)

 Question 461123: The following equation contains parentheses. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. -4(3 m- 10) + 13(m - 3) = 14 - 10 Click here to see answer by richard1234(5390)

 Question 461439: 3(x+2)^2 - (x+1) I think it's 3x^2+12x+12, but I'm not sure. Click here to see answer by rwm(914)

 Question 461494: My equation is 35-7(3z-2) and I was wondering, do I distribute 7 or -7 to the (3z-2) Click here to see answer by AnlytcPhil(1321)

 Question 462278: Okay, I have looked at this a dozen ways and I am not getting it. I thought I knew it, but not so much. I have checked my answer against the back of the book and keep getting it wrong. Here is is: (x+4)(x-5)-(x+3)(x-6) Tried FOIL and distributive and I am very frustrated...Thanks for your help -Matt Click here to see answer by nerdybill(7090)

 Question 463719: can you help me solve 3(w-3)=6? what does the w=? Click here to see answer by reviewermath(721)

 Question 464338: State the property that justifies the following: 8 + [(10)(7)] = 8 + [(7)(10)] Click here to see answer by richard1234(5390)

 Question 464875: Simplify [(3x^2y^0)^2+1/x^-1](2x+5). Assume that no variable equals 0. Click here to see answer by stanbon(60771)

 Question 465017: x=1x is what property? commutative property, associative property, distributiv property multiplicative property f zero, or multiolicative idenity? Click here to see answer by solver91311(18785)

 Question 465526: Is this problem commutative property or associative property? 11+(2+w)=(11+2)+w Click here to see answer by algebrahouse.com(1279)

 Question 466465: Factor. I can check by multiplying, but get stuck figuring out the GCF and then applying that to each part. I think I have been looking at it too long?! 5x^7y^5+30x^5y^4+35xy Click here to see answer by stanbon(60771)
 Question 466465: Factor. I can check by multiplying, but get stuck figuring out the GCF and then applying that to each part. I think I have been looking at it too long?! 5x^7y^5+30x^5y^4+35xy Click here to see answer by ccs2011(207)

 Question 466634: Hello! I am working on my Foiling, and I wish to know if I worked it out correctly. (7x + 4y)^2 = (7x + 4y)(7x + 4y) = 49x^2 + 28xy + 28xy + 16y^2 = 49x^2 + 56xy + 16y^2 Thanks Click here to see answer by rfer(13569)

 Question 466632: Hello! I have a hard time with fractions. Here is my problem, and I wish to know if I worked it out correctly. (3/4x + 1/2)^2 = (3/4x + 1/2) (3/4x + 1/2) = 3/4x * 3/4x = 9/16x^2 --> 3/4x * 1/2 (((2/4 * 3/4x)) = 6/16x = 1/2 * 1/2 = 1/4 = 9/16x^2 + 6/16x + 6/16x + 1/4 = 9/16x^2 + 12/16x + 1/4 I want to know if I worked this problem out correctly. Click here to see answer by rfer(13569)

 Question 467053: This is very confusing to me. Please help me solve. Thank you. X0y5(y-5-2y7x5) I don't know how to write exponents on the computer so it is X to the 0, y to the 5th (y to the negative 5th minus 2Y to the 7th x to the 5th. Click here to see answer by Alan3354(34673)

 Question 467424: Simplify. Remember to use absolute-value notation when necessary. If a root cannot be simplified, state this. 5cubed and the square root of -1/32 Click here to see answer by jim_thompson5910(29613)

 Question 467801: (x + 2)4 - 5(x + 2)2 + 4 = 0 Click here to see answer by jorel1380(2518)