Q:

Help with the following problems please and thank you

Accepted Solution

A:
Just add the numbers in front of variables if the variables are the same! 
2) 5x+7+2x=7x+7 Because you would add the 5 and 2, and since the 7 doesn't have a variable you add it onto the end.
3) 16+4p (13p-9p is 4p)
4) y^2 +  5y (you can't combine y^2 with a y variable because it has a different exponent! if there is no exponent shown it is assumed to be 1. If exponents are the same you combine them, but if not you leave it as is)
5) You distribute the 5 (multiply) with 2h and 3, leaving 10h+15+3h which is 13h+15
6) 19+4n (12+7 is 19, and 18n-14n is 4n)
7) Distribute the 2 to get 18+10k
8) Distribute the 5 to get 15m+10
9) Distribute the 6 to get 6g+6h (you can't combine these because they are different variables)
10) The GCF of 4 and 8 is 4. Place the 4 out of the parentheses. Divide 4d and 8 by four and place them inside the parentheses. 4d is 4 times d so if you divide 4 by 4 you're left with 1d or just d. 8 divided by four is two. 4(d+2)
11) GCF= 7 so 7(3p+5q) 
12) GCF= 9 so 9(2x+y)