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

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Question 160819: what is the answer to 2(15 - 7g) = 3[ g + 2 - 3(2g - 1)]
Click here to see answer by gonzo(654)

Question 161089: why is the reciprocal of the opposite of a # multiplied by the opposite of that number is equal to 1?
-1/a.-a=1??????
Click here to see answer by jojo14344(1512)

Question 161272: simplify the expression and detail the property you used in each step: 2(3x+y)+4x
Click here to see answer by elima(1433)

Question 161271: simplify the expression and detail the property you used in each step: ab(a+b).
Click here to see answer by elima(1433)

Question 161478: (2/3y-1)^2
2
I am not sure how to write this but it's 2on top and 3 ont bottom with y - one half
Click here to see answer by jim_thompson5910(28598)

Question 161473: (5x-6)(5x_6)
I tried to answer this but it made no sice in the end I has -25-60x24
Click here to see answer by jim_thompson5910(28598)

Question 161594: Solve for x: 7[2-3(2-x)+2x]=3-2x
Click here to see answer by Alan3354(30993)

Question 161804: how do you factor using distributive property when you have two different variables?
5m + 15y
Click here to see answer by elima(1433)

Question 162387: A 5 digit number is represented by ABCDE where each letter is a digit. If we add the digit 1 in front of ABCDE we get 1ABCDE. The product 1ABCDE and 3 is the six digit number ABCDE1. Find the value of the original number ABCDE.
Click here to see answer by scott8148(6628)

Question 162646: Hi,
I have a problem in which the first part of the equation is 6[8-(Y+4)]. I have the solution to this problem, and I understand all the operations except, the first step which is to remove the parentheses around Y+4 and to change the sign here to Y-4. Then, this part of the equation becomes 6(8-Y-4).
What rule is being applied here that allows me to change the order of operations by removing the parentheses and changing the sign from + to - ?
Thank you very much,
Taylor
Click here to see answer by Fombitz(13828)

Question 162686: The temparture dropped 18 degrees to -2 degrees from 8 a.m to 10 a.m..Write an equation to allow you to find the temparture at 8.m.
Click here to see answer by elima(1433)

Question 162786: x^2+10=0 this is solve by factoring, and the second problem is 2x6^2-3x-2=0
f(x)= 2x^2-7x+3 find f(2).Can you please work the problems out so that I see how to work them out so I can do other problems. Thank you.
Click here to see answer by eperette(173)

Question 162796: The problem should have been x^2+7x+10=0 not x^2+10=0. And the 6 was not suppose to be in the other problem.
Click here to see answer by checkley77(12569)

Question 163087: Solve the following system of equations.
x+4y=5 (1)
x=6-4y (2)
What is the solution of the system?
Click here to see answer by checkley77(12569)

Question 163424: I am trying to understand the distributive property III. When I do the problem, I add all the numbers together to get one number. My mom says that is wrong and I don't understand why. Two problems I'd like help are:
-7(-3n + 2) my answer is 7n
7(2m + t) my answer is 21
Please help. Thank you for your time.
Click here to see answer by Earlsdon(6291)

Question 163643: how do you rewrite 4 x 115 using the distributive property?
Click here to see answer by Fombitz(13828)

Question 163712: a man passed through into an orchard, where he picked a certain number of apples. On the way out of the orchard, he gave the first guard half of the apples that he had and one more. He gave the second guard half of the remaining apples and one apple more. He did the same for each of the remaining five guards and finally left the orchard with one apple. How many apples did he pick in the orchard?
Click here to see answer by Edwin McCravy(8922)

Question 163637: 10-x-2x^2/2x^2-9x+10
=-2x^2-x+10/2x^2-9x+10
=(2x+2)(-x+5)/(2x+2)(2x+5)
=(-x+5)/(2x+2)
Click here to see answer by orca(409)

Question 131803: Expand: (x+3)^3
Click here to see answer by Alan3354(30993)

Question 164993: Does the Distributive Property seem to hold for subtraction?
Click here to see answer by jim_thompson5910(28598)

Question 164995: Explain how to distribute a negative number to expand an expression
Click here to see answer by midwood_trail(310)

Question 165059: I am trying to multiply this problem by using the distributive property, I am lost

5/7(34x^2 - 21x - 28)
Click here to see answer by jojo14344(1512)

Question 165562: I have one more similiar, I am getting confused with the fraction portion of the problem
(2/3)(15x^2 - 18x + 24)
Click here to see answer by ankor@dixie-net.com(15667)

Question 165562: I have one more similiar, I am getting confused with the fraction portion of the problem
(2/3)(15x^2 - 18x + 24)
Click here to see answer by josmiceli(9698)

Question 165562: I have one more similiar, I am getting confused with the fraction portion of the problem
(2/3)(15x^2 - 18x + 24)
Click here to see answer by jojo14344(1512)

Question 165561: Can you help me figure this problem out
(1/3)^2 (-6) + (1/2)/(-3/4)
Click here to see answer by NerdvanaGirl(8)

Question 165570: Once again,
(4x+3y^2-2)(3)
these are all practice problems: For this next problem, I got 5y^2 -2 as my final answer

first step: I began inside the first set of parenthesis first by by getting rid of the square root of 3y, which is 9y
second step, I added subtracted 4x from 9y, which left me with a 5y^2 (subtracted because the signs are opposite.
the final answer is 5y^2-2

Click here to see answer by checkley77(12569)

Question 165710: Is there any reason why my question is going ignored.
I am trying to figure out how to solve this problem and have submitted it three times, still no answer
1/2 divided by 3/8+5*(1/3)
so, i am assuming the problem should written out like this:
1/2/3/8+5+(1/3)
Click here to see answer by Fombitz(13828)

Question 166162: Factor completely:
x2 – 9x + 20

Click here to see answer by nerdybill(6963)

Question 166160: Factor completely:
2x3 – 26x2 + 80x

Click here to see answer by checkley77(12569)

Question 166161: Factor completely:
x2 – 15wy + 3xy – 5wx

Click here to see answer by ptaylor(2048)

Question 166366: Find the product.
(x - 4y)(5x - 9y)
Click here to see answer by jim_thompson5910(28598)

Question 166366: Find the product.
(x - 4y)(5x - 9y)
Click here to see answer by MRperkins(300)

Question 166456: Name the Property.
a: 6+1*2=1*2+6
b: (7x)*y=7(xy)
c: 0+a=a
d: 2(x+3)=2x+2*3
e: 1/2(8*5)=(1/2*8)*5
f: 1*(-2/3)=-2/3
Click here to see answer by stanbon(57424)

Question 166934: help me with this problem
a^3+2abc-2c^2 for a=3, b=9, and c=-2
Click here to see answer by checkley77(12569)

Question 166970: (3-b)6
Click here to see answer by midwood_trail(310)

Question 167065: A five digit number is represented by ABCDE where each letter represents a digit. If we add the digit 1 in front of ABCDE, we get 1ABCDE. The product of 1ABCDE and 3 is the six digit number ABCDE1. Find the value of the original number ABCDE
Click here to see answer by ankor@dixie-net.com(15667)

Question 167566: Factoring a Difference of Two Squares
Factor each polynomial.
16. 9a2 – 64b2

Click here to see answer by sowmya(32)

Question 167628: How do you use the Distributive property to write an expression as an
equivalent expression
example:6(n+5) or -2(k+8) please help thank you
Click here to see answer by gonzo(654)

Question 167895: Help! I am lost.
(5x2 – 3x + 2) + (-3x2 + 9x – 8) – (x2 + 3x – 10)
Click here to see answer by checkley77(12569)

Question 167893: Use FOIL to multiply:
(3x – 8)(x – 7)
Help!!!
Click here to see answer by jim_thompson5910(28598)

Question 168615: -13=2b-b-10
13=5-13+3a
Click here to see answer by midwood_trail(310)

Question 168695: Factor....Need some help
x^4-13x^2+36
Click here to see answer by jim_thompson5910(28598)

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