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

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Question 994738: I have no idea how to do this since I learn (X+2)(X+2) kind of distribute property
(12x^2y^4z^6)(x^3y^5z^7)

Question 994716: I have a question my teacher talks about distributive property today and this is what I learn.
(X+2)(X+2) is equal to x^2+4x+4 not x^2+4
I don't understand when to do the distributive property and when to do the actual multiplication with the expression.

Found 2 solutions by MathLover1, Alan3354:
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The Distributive Property is an algebra property which is to a single term and two or more terms inside a set of parentheses. Take a look at the problem below.

Because the binomial "" is in a set of parentheses, when following the Order of Operations, you must first find the answer of , then multiply it by . This gives an answer of .
so, in your case we have two binomials to multiply:
...here you use The Distributive Property

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(X+2)(X+2) is equal to x^2+4x+4 not x^2+4
---------
(x+2)*(x+2) = x*(x+2) + 2*(x+2)
= x^2+2x + 2x+4
= x^2 + 4x + 4
--------------
I'm convinced.

Question 994703: How do u work this distributive property math problem 1/6(24+q)=22
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1/6(24+q)=22
-----------------
Is it ?
Or ?

Question 994489: hi my name is Sonna and im in the 8th grade and i needed a little help on my algebra 1 homework.
You can put this solution on YOUR website!
Look at the link shown in one of the page's tabs, "For Students".
Follows guidance there.

Ask your question as precisely as you can. If your question is all in words as presented to you in your instructional document or book, then write your question and problem description exactly, word-for-word. If your problem includes a figure or picture or graph, try to include or show it if you have the knowledge how to.

Question 994192: My son is in 8th grade he is learning about solving linear equations and properties I have been helping him identity the steps and he got an equation that stumped all 3 of us him me and my husband
2/4z+4=1/2/3z-1
Our issues lie in the 1/2 in the numerator we have tried to isolate the z and just getting stumped any advice or guidance on this step apprecciated

Found 2 solutions by MathTherapy, stanbon:
You can put this solution on YOUR website!

My son is in 8th grade he is learning about solving linear equations and properties I have been helping him identity the steps and he got an equation that stumped all 3 of us him me and my husband
2/4z+4=1/2/3z-1
Our issues lie in the 1/2 in the numerator we have tried to isolate the z and just getting stumped any advice or guidance on this step apprecciated
You need to use parentheses
I presume this is the equation: , with , and . If it is, then:
----- Cross-multiplying

--------- Cross-multiplying
12z - 4 = 4z + 4
12z - 4z = 4 + 4
8z = 8
, or



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2/(4z+4)=(1/2)/(3z-1)
-----
Cross-multiply to get:
2(3z-1) = (1/2)(4z+4)
-----------------------
6z-2 = 2z+2
----
Subtract 2z from both sides:
-----
4z = 4
z = 1
------------
Pls. let me know if that is too confusing.
-------------
Cheers,
Stan H.
----

Question 993961: Write each of the following products (the result to a multiplication problem) using exponents to express the results in a simpler form.
(3 inches)(5inches)=
(5 feet)(2 feet)=

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3 in*5 in=15 in^2
5 feet*2 feet=10 feet^2

Question 990461: How do you simplify these numbers? -2+5(4+3r)
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.
-2 + 5*(4+3r) = -2 + 5*4 + 5*3r = -2 + 20 + 15r = (-2 + 20) + 15r = 18 + 15r.

Question 989955: 2B3•327=6CD5A
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2b3*327 = 88245 in Hex

Question 989778: Ted drove to his grandparents' house for a holiday weekend. The total distance (one-way) was 337 miles and it took him 4 hours. How fast was Ted Driving? (Round answer to the nearest whole number)
You can put this solution on YOUR website!
.

.

.

.
ANSWER: His average speed was 84 miles per hour.

Question 988626: -820-146-47-(-833)=
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-820-146-47-(-833)

= -820 - 146 - 47 + 833

= -180

Question 989501: -2 (-2x + 1) =

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.
-2(-2x+1)=((-2)(-2x))+((-2)(1))=4x-2

Question 989116: 4x+(2x+6)=24
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Remove the parentheses.

Collect like terms in the LHS.

Add the additive inverse of the constant term in the LHS to both sides.

Multiply both sides by the reciprocal of the coefficient on the variable.

John

My calculator said it, I believe it, that settles it

Question 988866: What is a distributive property?
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You can look that up.

Question 988835: faktor dari x2-x-6
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factor:: x^2-x-6
-------
= x^2-3x+2x-6
-------
= x(x-3)+2(x-3)
-------
= (x-3)(x+2)
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Cheers,
Stan H.
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Question 988800: a 312-inch pipe is cut into two pieces. One piece is 5 times the length of the other. Find the length of the shorter.
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a 312-inch pipe is cut into two pieces. One piece is 5 times the length of the other. Find the length of the shorter.
let x=length ofshorter piece
12-x=length of longer piece
12-x=5x
6x=12
length ofshorter piece=2 in

Question 988623: Use a form of distributive property to rewrite algebraic expression without parentheses, simplified:
1/6(12x+24)=

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.
1/6(12x+24)=2x+4

Question 988436: -2(2p-4)-6p-3
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NumberStatementReason
1.-2(2p-4)-6p-3
2.-2(2p)-2(-4)-6p-3Distributive property
3.-4p+8-6p-3Multiplication
4.-4p-6p+8-3Commutative property
5.-10p+5Combine like terms.

So -2(2p-4)-6p-3 simplifies to -10p+5

Question 988333: 3*(x+6)^2+6*(x+6)^4

Question 988305: quisiera saber que propiedad de los numeros reales se usan en estos ejercicios.
7(a+b+c)=7(a+b)+7c
(5x+1)3=15+3
(x+a)(x+b)=(x+a)x+(x+a)b

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Question 987985: Use the associative law of multiplication to write an equivalent expression.
8(3m) You try:

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the associative law of multiplication states:

if we have than we can write it as , do multiplication, and we will get

Question 987823: if I think of a number multiply by 3 and divide by 2. If the result is 18, what was the original number??
Found 2 solutions by MathLover1, stanbon:
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if I think of a number:
multiply by :
and divide by :
if the result is :
to find out what was the original number, solve for

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if I think of a number multiply by 3 and divide by 2. If the result is 18, what was the original number??
---------
3x/2 = 18
x/2 = 6
x = 12
-----------
Cheers,
Stan H.

Question 987321: The height of a triangle is(3x-2) dm and its base is half of its height.Find its area
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Hi there,
Height = (3x - 2)
Base = (3x - 2)/2
Base = 1.5x - 1
Area = 1/2 (base x height)
Area = 1/2 (1.5x - 1)(3x - 2)
Area = 1/2(4.5x^2 - 6x + 2)
Area = 2.25x^2 - 3x + 1
Hope this helps :-)

Question 987232: Use the distributive property to write an equivalent expression
22x-8

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You can factor out 2 to get 22x - 8 = 2(11x - 4)

Question 987227: 21x+6=3(_x+_)
use the distributive property to write an equivalent expression by filling in the missing numbers

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21x = 3*7x
6 = 3*2

So,

21x+6 = 3(7x+2)

Question 986601: Had to write a algebraic expression and simplify
The product of 5 and m squared, increased by the sum of the square of m and 5?
I got. 5m squared +(m+5) squared
5m squared + (m+5) × (m+5)
How do you simplify from here

Found 2 solutions by MathTherapy, josgarithmetic:
You can put this solution on YOUR website!

Had to write a algebraic expression and simplify
The product of 5 and m squared, increased by the sum of the square of m and 5?
I got. 5m squared +(m+5) squared
5m squared + (m+5) × (m+5)
How do you simplify from here
If it is as you wrote it, then we have:  -------->  -------->
If it is interpreted as: , then



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The product of 5 and m squared, increased by the sum of the square of m and 5?

simplification,

1 (10x-15) = 6(1x - 1) +6
_ __ __
5 3 2

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Multiply both sides by to get rid of denominators.

False, there is no solution.

Question 986547: please help me find the answer. I can do the basic distributive property problems, but when the parenthesis and the fractions are combined....I get lost. Thanks in advance.
3(y-2)=1-3y
______
5
**The 5 is supposed to be a fraction right under the 3(y-2). I'm not sure how to make it look like that on here. Thanks.

Found 2 solutions by vleith, Fombitz:
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multiply both sides by 5 to clear the left side fraction
expand
combine like terms (y with y and numbers by themeselves
solve for y

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Multiply both sides by 5.

Question 986252: What is 8c^3(9-6c^2) simplified

Question 986204: what propertie is 3(n times 8) =3(8n)
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Hello,

This is Commutative property of multiplication. The answer is the same regardless of order. Thus,
3(n times 8) = 3(8n) is true because both sides equal 24n.

left side --> 3(n8) = 24n
right side --> 3(8n) = 24n

Regards,
Farohw

Question 986104: Use distributive property to write an equivalent expression
The cost of a movie ticket is $and the cost of a box of popcorn is$.
$..............use distributive property$
so, the total cost is:$we say$ is expression is equivalent to expression $Question 985746: -3+4x3-(-2) is the answer 1? Found 2 solutions by EdenWolf, Alan3354: Answer by EdenWolf(454) (Show Source): You can put this solution on YOUR website! No, the answer is not 1, but 11. Answer by Alan3354(47455) (Show Source): You can put this solution on YOUR website! idk. What is the question? Question 985839: Write an algebraic expression using the commutative property for the problem of: 9(x + 5) = Answer by jim_thompson5910(33401) (Show Source): You can put this solution on YOUR website! If you apply the commutative property of multiplication, you go from 9(x + 5) to (x + 5)9 Question 985776: I need help with these problems X(Yz)=x(zy) 2(x+y)=2x+2y (X+y)+z=(y+x)+z (X+y)+z=x+(y+z) 2[x(a+d)]=[2x](a+d) I need to know which ones are commutative, associative, identity, or inverse Answer by stanbon(69061) (Show Source): You can put this solution on YOUR website! X(Yz)=x(zy):: y and z changed places::: commutative --------------------- 2(x+y)=2x+2y::: mult. by 2 distributed over addition:: distributive ----------------------------- (X+y)+z=(y+x)+z:: x and y changed places:: commutative ------------------------- (X+y)+z=x+(y+z):: grouping changes:: associative ---------------------- 2[x(a+d)]=[2x](a+d):: grouping changed:: associative -------------------------------------------- Cheers, Stan H. ----------- Question 985604: Evaluate using the distributive property and/or combining like terms 3-2-4a+3ab-3ab^2 Answer by algebrahouse.com(1579) (Show Source): You can put this solution on YOUR website! 3 - 2 - 4a + 3ab - 3ab² = -3ab² + 3ab - 4a + 1 {combined the like terms, 3 and -2} For more help from me, visit: www.algebrahouse.com Question 985603: Evaluate using the distributive property and/or combining like terms 2x^2y+2xy^2-x^2+9y2 Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Nothing to evaluate until the values for the variables are given. Question 985602: Evaluate using the distributive property and / or combing like terms 3-2-4a+3ab-3ab^2 Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! Nothing to evaluate until the values for the variables are given. Question 985256: 2+6(9-3squared)-2 I have to name each property used which I find hard Answer by josgarithmetic(13975) (Show Source): You can put this solution on YOUR website! NOTE: Edited twice to explain better. This is just a matter of terminology to justify why each step is made. The properties are presented and clearly stated in your textbook. , given. , Order of Operations requires exponentiation first, depending on how quantities are associated - I know of no other law for this. , Additive Inverse Property; note that the operation inside the parentheses was done BEFORE the multiplication involving the 6; because or again, Order of Operations. WORK inside parentheses FIRST, depending on presence or arrangements of any exponentiations. , law about multiplication by 0, product is zero - not sure if there is a better name. (This is result of the principle of multiplication by zero; that for any real number a such that , ). , same as , meaning of subtraction , Additive Inverse Property Question 985124: |3x-8|>=7 Answer by MathLover1(11324) (Show Source): You can put this solution on YOUR website! if and so, if =>=>=>=> and if =>=>=>=> or solutions: Interval notation: (, ) (, ] Question 985200: your bank account has a balance of -$12. you deposit $60 whats your new balance Answer by srinivas.g(527) (Show Source): You can put this solution on YOUR website! bank balance = -$12
deposit =$60 new balance = original balance+deposit =-12+60 = 48 Result :$48