What is the simplified form of the following expression?
7m^2 + 6.5n - 4 + 2.5m^2 - n
A. 9.5m^2 + 1.5n
B. 4.5m^2 + 1.5n
C. 1.5m^2 - 4.2n
D. 9.5m^2 -1.5n***** <-- The one I chose.
I did this and got 9.5m^2 and 2.5n. Was I supposed to make the n a 1 and subtract it from 2.5n? And the operation symbol is supposed to be subtraction between the two answers right?
How?
Well, it seems like there was a slight mix-up in your calculations. Let's take a closer look at the expression:
7m^2 + 6.5n - 4 + 2.5m^2 - n
To simplify this, we combine like terms:
(7m^2 + 2.5m^2) + (6.5n - n) - 4
This gives us:
9.5m^2 + 5.5n - 4
So, the correct simplified form of the expression is 9.5m^2 + 5.5n - 4.
But hey, no worries! Making mistakes is all part of the learning process. Just remember to double-check your calculations to avoid any confusion.
To simplify the given expression, combine like terms by adding or subtracting coefficients of the same variables.
The expression is: 7m^2 + 6.5n - 4 + 2.5m^2 - n
Combine the like terms for the variables m^2: 7m^2 + 2.5m^2 = 9.5m^2
Combine the like terms for the variable n: 6.5n - n = 5.5n
No other terms can be combined, so the simplified form of the expression is:
9.5m^2 + 5.5n
Therefore, the correct answer is option D: 9.5m^2 - 5.5n
To simplify the given expression, you need to combine like terms, which have the same variable and exponent.
Let's break down the expression step-by-step:
7m^2 + 6.5n - 4 + 2.5m^2 - n
First, combine the like terms with m^2. Add 7m^2 and 2.5m^2:
(7m^2 + 2.5m^2) + 6.5n - 4 - n
Now, add the coefficients of m^2: 7 + 2.5 = 9.5m^2
The expression becomes:
9.5m^2 + 6.5n - 4 - n
Next, combine the like terms with n. Add 6.5n and -n:
9.5m^2 + (6.5n - n) - 4
Simplifying further:
9.5m^2 + 5.5n - 4
Therefore, the simplified form of the given expression is 9.5m^2 + 5.5n - 4.
In this case, the correct option is not D. The simplified form is 9.5m^2 + 5.5n - 4.