SOLUTION: Write an algebraic expression for, "four times the sum of 2a and (b) increased by twice the sum of 6a and 2b." Then simplify, indicating the properties used.

Algebra ->  Expressions-with-variables -> SOLUTION: Write an algebraic expression for, "four times the sum of 2a and (b) increased by twice the sum of 6a and 2b." Then simplify, indicating the properties used.      Log On


   

Question 214209: Write an algebraic expression for, "four times the sum of 2a and (b) increased by twice the sum of 6a and 2b." Then simplify, indicating the properties used.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"four times the sum of 2a and (b)" translates to 4%282a%2Bb%29

"twice the sum of 6a and 2b" means that 2%286a%2B2b%29

and altogether, "four times the sum of 2a and (b) increased by twice the sum of 6a and 2b." tells us 4%282a%2Bb%29%2B2%286a%2B2b%29


4%282a%2Bb%29%2B2%286a%2B2b%29 Start with the given expression


8a%2B4b%2B12a%2B4b Distribute


20a%2B8b Combine like terms.


So 4%282a%2Bb%29%2B2%286a%2B2b%29=20a%2B8b