Which expression is equivalent to 0.38m + m +0.84m?
Answer
1 + 1.22m
-0.54m
m + 1.22
2.22m
The correct answer and explanation is:
The correct answer is 2.22m.
Here’s the explanation:
The given expression is: 0.38m+m+0.84m0.38m + m + 0.84m
First, recognize that mm is a variable, so the terms that include mm can be combined.
To combine the terms, simply add the coefficients of mm together: 0.38+1+0.840.38 + 1 + 0.84
Adding these numbers: 0.38+1=1.380.38 + 1 = 1.38 1.38+0.84=2.221.38 + 0.84 = 2.22
So, the combined expression is: 2.22m2.22m
Thus, the correct equivalent expression is 2.22m2.22m, because the total coefficient of mm is 2.22.
Understanding this process of combining like terms is crucial in algebra, as it simplifies expressions and helps in solving equations more easily. In this case, the variable mm appears in all the terms, so the coefficients are added together. Always ensure to align the like terms (those involving the same variable) for proper simplification.