1. The question is: List the like terms in the following group of terms.
7z, –8yz^2, 9y^2z, –3yz^2, –5yz^2, 9y^2
I Listed them as follows:
-8yz^2, –3yz^2,–5yz^2,9y^2z, 9y^2, 7z
2. The next question asks: List the terms of the following expression.
3r^2 – 2r – 8
My answer: 3r^2, – 2r, – 8
(I'm not sure what to do here but i tried)
If someone could correct my answers it would be appreciated.
1. You need to group "like terms" together. They are terms that are either all constants, or which have the same exponents for both x and y. In this case, the only like terms are
-5 yz^2, -8 yz^2, and -3yz^2.
"Like terms" can always be combined in an algebraic expression.
2. You are correct on that one.
1. Your answer for the first question is incorrect. Like terms are terms that have the same variables and the same exponents. In this case, the like terms are:
-8yz^2, -3yz^2, -5yz^2, 9y^2z, 9y^2, 7z
By rearranging them, the correct list of like terms would be:
-8yz^2, -3yz^2, -5yz^2, 9y^2z, 9y^2, 7z
2. Your answer for the second question is correct. The terms in the expression 3r^2 - 2r - 8 are:
3r^2, -2r, -8
Well done!