SOLUTION: can you help me name the property illstrated by each statement 5. 6 (u + 2v) = 6u + 12v 2. 5(m)(n) =5(m)n 7. (2a + 3b) + 4c = 2a + (3b +4c)

Algebra.Com
Question 92891: can you help me name the property illstrated by each statement
5. 6 (u + 2v) = 6u + 12v

2. 5(m)(n) =5(m)n
7. (2a + 3b) + 4c = 2a + (3b +4c)

4. 3t + 2r = 2r + 3t
6. 0 = 100(0)
9. gx =xg
8. pq + n = qp + n
10. 15(c + d) = 15(d + c )

Answer by chitra(359)   (Show Source): You can put this solution on YOUR website!
here are the solutions..

6 (u + 2v) = 6u + 12v ==> distributive property


5(m)(n) =5(m)n ==> associative property


(2a + 3b) + 4c = 2a + (3b +4c) ==> Associative property


3t + 2r = 2r + 3t ==> Commutative property for addition.

0 = 100(0) ==> multiplication by zero

gx = xg ==> Commutative Property

pq + n = qp + n Commutative

15(c + d) = 15(d + c ) Commutative prop of Addition.


Hence, the solution.

regs




RELATED QUESTIONS

... (answered by stanbon,Edwin McCravy)
Solve with elimination, explain each step given. 2a + 3b - 5c = -5 -2a - 2b - c =... (answered by Fombitz,MathTherapy)
Simplify using the distributive property.... (answered by rfer,2897696)
Determine using substitution or addition. 2a+b-2c=5 3b+4c=1... (answered by solver91311)
Name the property that is illustrated by statement: 2a+(3b+c)=(3b+c)+2a. Simplify... (answered by stanbon)
WHAT ARE THE DISTRIBUTIVE PROPERTIES OF (m+n+1)=2m+2n+2 &... (answered by robertb)
(2a^5/3b^4)^-2 (answered by lynnlo)
Evaluate if a=3, b=-2, and c=-5 3b^2-2a^2 divided by 4c - b when i did it, i got... (answered by Mathtut,Alan3354)
6c+5d-4c-3d+3c-6d when c=4 and d=(-2) 10a+3b-5a+4b+1a+5b when a=(-3) and b=5... (answered by checkley77)