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

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Question 489965: Helping my grandson with Algebra. Need a simple way to decipher Distributive, Associative, Commutative.
9(3 + 4) + 9 . 3 + 9 . 4
3(44)
3 . 5 . 6

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Question 489994: which property is illustrated if 5=n+4 and n+4=y then 5=y

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Question 489998: which property is illustrated 2(n+8)=2n+16

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Question 490032: Can someone help me with this please?
10a^2+25a-15

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Question 490063: what is the answer to 1/4(12x-8)
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Question 490179: what property is 14(mn)=(14m)n
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Question 490298: I really need help from someone please?
x^2-3xy+9y^2

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Question 490298: I really need help from someone please?
x^2-3xy+9y^2

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Question 490376: Factor completely.
5x^6-25x^5+40x^4
Thanks in advance! I have been trying to find how to solve this every where and really need help with this one!

Click here to see answer by rfer(12670) About Me 
Question 490376: Factor completely.
5x^6-25x^5+40x^4
Thanks in advance! I have been trying to find how to solve this every where and really need help with this one!

Click here to see answer by stanbon(57387) About Me 

Question 490618: I do not understand the difference between Distributive and associative properties. I am trying to help my daughter with her lessons and I do not have a clue! Thanks a million.
Click here to see answer by rfer(12670) About Me 

Question 490749: If x^3 = 3x^2, then what is x?
"Your first instinct might be to divide both sides by x2 and arrive at x = 3. This answer is correct, but it is not complete. The better approach is to subtract 3x2 from both sides, factor and use the Zero-Product Rule."
Hi, I'm really sorry, but I am a touch learning disabled, and I don't understand what this paragraph is saying. Please someone walk me through what they are asking?

Click here to see answer by Alan3354(30993) About Me 

Question 490822: The associative property states that 2x3=3x2 True or False?
Click here to see answer by jim_thompson5910(28598) About Me 

Question 491043: how can I solve this: +p%5E2%28p+%2B+1%29%28p+-+2%29+
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Question 491317: how do i remove parentheses of distributive property of -3(w-6)
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Question 491524: 2/3(12x-21)-2X=4x+10
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Question 491714: Distribute 4(x+1)

Click here to see answer by MathLover1(6638) About Me 

Question 492003: how to factor 7x^3 +14X^2+63x
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Question 492201: I am simplyfying expressions with parentheses and i dont get this one.
8(7-5ab)-2ab

Click here to see answer by chessace(471) About Me 

Question 492399: My problen says : Find each missing number. So here is the problem 8x(30+2)= (8x___)+ (8x2)and I dont get it can you please help me???Im only in the 6th grade. Thanks
Click here to see answer by stanbon(57387) About Me 

Question 492418: 3[x+2] = 3x + 6
what property is this?
I couldnt solve this one.
I did every other property but i cant understand what this one is :(
its my first time in Algebra.

Click here to see answer by deborabr(181) About Me 

Question 493113: solve for x. 2/3 (x+9) = 1/3 (12-x)
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Question 495382: what is the another way could have performed the multiplication of
(2×3)×5 = 30,
without changing the order of the numbers. and what is the property need to use?

Click here to see answer by Edwin McCravy(8911) About Me 

Question 496140: hi I need help on my algebra the question is (6+3)+21=6+(3+21)
Click here to see answer by Alan3354(30993) About Me 

Question 496896: Trying to complete hw with my child
(5x2 +4x -7) + (-5x2-4x+7)
the 2s are squared. Unsure what to do with the negative sign and the different signs of the x.

Click here to see answer by Alan3354(30993) About Me 

Question 497401: Which property is illustrated in this problem?
5 x 4 = 4 x 5

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Question 497603: What is -9(y-9) rewritten in distributive property?
Click here to see answer by solver91311(16897) About Me 

Question 498278: i don't understand algebra do you have any examples of each way to work out the properties. i can barley do my work it's way too confusing thanks
Click here to see answer by josmiceli(9697) About Me 

Question 498410: How do you do -(20+d)
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Question 498479: how do i write an expression for a rectangles dimensions?
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Question 498770: Name the property that justifies each step of solving the equation...
2m+7n+8m=(2m+8m)+7n





Click here to see answer by jim_thompson5910(28598) About Me 

Question 498772: Name the property that justifies each step of solving the equation...
4(r+3s)-5r=4r+12s-5r
=(4r-5r)+12s
=(4-5)r+12s
=r+12s






Click here to see answer by solver91311(16897) About Me 

Question 498971: I am trying to solve for X in the following equation:
100 = 5.24/(1+X) + 115.2124/(1+X)^2

Click here to see answer by chessace(471) About Me 

Question 498995: Landscape Design
Landscape designers often use coordinate geometry and algebra as they help their clients. In many regions, landscape design is a growing field. With the increasing popularity of do-it-yourself television shows, many homeowners are becoming amateur landscape artists.
Imagine you are a homeowner getting ready to sell your home. You realize there are some landscaping problems you want to address so your home will sell quickly and you can get the best price. After making this decision, you realize there are many things to consider when landscaping the backyard, such as budget, time, and space.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project.
a. Write an inequality that demonstrates how much money you will are willing to spend on the project.
b. For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $60 and each tree is $84, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
c. Would five trees be a solution to the inequality in Part b? Justify your answer.
2. The coordinate graph of the backyard shows the location of the trees, plants, patio, and utility lines. If necessary, you may copy and paste the image to another document and enlarge it.
a. What are the coordinates of Tree A, Plant B, Plant C, Patio D, Plant E, and Plant F?

b. The water line is given by the equation

Imagine you want to put a pink flamingo lawn ornament in your backyard. You want to avoid placing it directly over the water line in case you need to excavate the line for repairs in the future. Could you place it at the point (-4,-10)?
c. What is the slope and y-intercept of the line in Part b? How do you know?
d. Imagine you want to add a sprinkler system and the location of one section of the sprinkler line can be described by the equation

Complete the table for this equation.
x y (x,y)
-1
-2
-4
2
8
e. What objects might be in the way as you lay the pipe for the sprinkler?



Click here to see answer by richard1234(5390) About Me 

Question 497515: How do you do this problem? -(7t-4s+3)
Click here to see answer by Flannery(124) About Me 

Question 498613: (9x-54)(8x+32)=0 can be solved by using what property?
Click here to see answer by Flannery(124) About Me 

Question 499422: For math homework this weekend I have to "name the property illustrated by each statement." One of my questions is If 2m and 3k + 1 are real numbers, then (2m)(3k + 1) is a real number. Thank you for taking the time to read this!
Click here to see answer by chessace(471) About Me 

Question 499961: I am to factor this problem using the distributive law and I also have to check by multiplying. I also have to explain how I got my answer or I will not be graded. 13+13x
Click here to see answer by Edwin McCravy(8911) About Me 

Question 500633: how do you simplify 6m + 3(2m + 5) + 7
Click here to see answer by rfer(12670) About Me 

Question 500492: what is -5(b+c)

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Question 500290: how do you simplify the product using the distributive property
(5h-5)(5h-6)

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Question 501405: 3 -3(x- 2)
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Question 501447: How do i distribute or work out this problem -(2-x)-3(6+8x)-12 ?
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Question 501567: How does distributive property help complete 15x13?
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Question 501802: which property of real numbers is the following equation?
4(x-7)=4x-28

Click here to see answer by jim_thompson5910(28598) About Me 

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