Foundations for Algebra Unit Test Algebra 1A Unit 2: Foundations for Algebra
1-28
Does anyone know or can someone help
I think it's B but I don't know for sure.
The Question:
What is the simplified form of the expression?
- 7m^2 + 6.5n - 4n + 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
If that leading - sign is correct, then none of the choices works, since you would have -4.5m^2
Otherwise, A is what you want
To simplify the expression -7m^2 + 6.5n - 4n + 2.5m^2 - n, we can combine like terms.
Like terms are terms that have the same variable(s) raised to the same exponent(s).
Let's group the terms with m^2 and the terms with n together:
-7m^2 + 2.5m^2 + 6.5n - 4n - n
To combine the terms, we add or subtract their coefficients:
(-7 + 2.5)m^2 + (6.5 - 4 - 1)n
Simplifying further:
-4.5m^2 + 1.5n
Therefore, the simplified form of the expression -7m^2 + 6.5n - 4n + 2.5m^2 - n is B: 4.5m^2 + 1.5n.
To simplify an expression, you need to combine like terms. Like terms have the same variable(s) raised to the same power. In this case, we have two terms with "m^2," two terms with "n," and one term without any variables.
The given expression is:
- 7m^2 + 6.5n - 4n + 2.5m^2 - n
Let's combine the like terms:
The terms with "m^2" are -7m^2 and 2.5m^2. When we add them together, we get -7m^2 + 2.5m^2 = -4.5m^2.
The terms with "n" are 6.5n, -4n, and -n. When we add them together, we get 6.5n - 4n - n = 1.5n.
Now, we can rewrite the simplified expression as:
-4.5m^2 + 1.5n
Looking at the answer choices, the simplified form matches the expression -4.5m^2 + 1.5n, which means option B is correct:
B: 4.5m^2 + 1.5n