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Simplified Math Equation?
I need to simplify/solve these equation:
1.(7n+3)5+(11+4n)2
2. (6a+7)2+4a
PLEASE SHOW THE STEPS YOU USED TO SIMPLIFY IT. I already what the answers are but I'm stuck on finding the steps to solve it. There is no exact number answer for this equation. The result should be something like-5n+42 with the variable since the variable is not listed.
Sorry I just realized this. On the title it should be simplified math expression not equation!
13 Answers
- 1 decade agoFavorite Answer
1.(7n+3)5+(11+4n)2 --->distribute the 5 and 2 into the parenthesis
=(35n+15)+(22+8n) --->combine like terms
=43n+37 --->simplified expression
2. (6a+7)2+4a ---> distribute the 2 into the parenthesis
=12a+14+4a ---->combine like terms
=16a+14
hope that helped
- 1 decade ago
ok, just simplify? gee thats the easy part wait till you gotta solve quadratics....and you have to put it into quadratic form :P
anyways, here we go:
(7n+3)5 + (11+4n)2
#1 Distribution:
you must distribute the 5 to the (7n+3) and the 2 to the (11+4n)
for example, (7n+3)5 = (5*7n) + (5*3) which is 35n + 15.
and (11+4n)2 which would be 8n+22.
so you end up with 35n +15 + 8n + 22. then....
#2 Simplify:
combine like terms.
e.g. 35n+8n=43n & 15+22 = 37.
so you end up with something like 43n + 37.
and thats all you have to do for just simplifying.
for the second one {(6a+7)2+4a}, you should end up with 16a+14, again just distribute the 2 into (6a+7) and combine like terms.
supposing thats all they want you to do is simplify it, thats all you gotta do. :) this is easy stuff...i like the easy stuff :D
Source(s): um...like algebra and alg 2 classes...boy i wish i could go back to alg2, it was better than pre-cal is.... feel free to im me :) - 1 decade ago
(7n + 3)5 + (11+ 4n)2
1. Apply the Distributive Property to the 5 and 2 to get rid of the parenthesis.
35n + 15 + 22 + 8n
2. Combine your like terms and you are finished.
43n + 37
(6a + 7)2 + 4a
1. Apply the Distributive Property to the 2 to get rid of the parenthesis.
12a + 14 + 4a
2. Combine your like terms and you are finished.
16a + 14
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- 1 decade ago
I won't give you the answers, but I will give you an example of one similar problem and work it out for you ^_^
1) (4n+7)6+(10+8n)6 --Write the original equation
>>4n+7*6+10+8n*6 --No like terms within parentesis, so remove them.
>>4n+42+10+8n*6 --P E M/D A/S: Multiplication
>>4n+42+10+52n --Multiply next set; it does not matter if there are differen variables when you multiply or divide
>>6n+52 --Combine like terms
>>6n+52 ----Final Answer---
I hope I helped :)
- 1 decade ago
use distributive property
1. (7n+3)5+(11+4n)2
35n+15+22+8n
43n+37
2. (6a+7)2+4a
12a+14+4a
16a+14
- 1 decade ago
( 7n+3)5+(11+4n)2
so 7 times the n. then plus 3.. then.... times 5 plus 11+4 times n then times 2
- Anonymous1 decade ago
1. multiply 5 into the paranthesis and the 2 as well...then combine like terms
35n+15+22+8n
43n+37
2. multiply the 2 in the parn...and combine like terms
12a+14+4a
16a+14
- 1 decade ago
1.
multiply through by 5 and 2
35n+15+22+8n
group terms
43n+37
2.
multiply through the left bit by 2
12a+14 +4a
group terms
16a+14
- Anonymous5 years ago
1) w^(7*4)=w^28 (* multiplication) 2) (a^3*a^5)^4 = (a^(3+5))^4= (a^8)^4 = a^32 3) (6^5)^7 = 6^(5*7) = 6^35 4) a^3.a^6 = a^(3+6)= a^9 5) 3x^2 * 4x^5 = 12x^(2+5) = 12x^7 6) 2m^4n^2 · 3m^3n^2 = 6m^(4+3)n^(2+2) =6m^7n^4 7) 3x^2 + x^2=4x^2 8) -5y^3 + 3y^3 - 2y^2 = -2y^3 - 2y^2 9) 7x^2y + 2xy^2 - 3x^2y = 4x^2y + 2xy^2