Which expressions are equivalent to
\[-6+4q+(-6q)\] ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
\[-6(q+1)-4q\]
A
\[-6(q+1)-4q\]
(Choice B)
\[2(q-3)\]
B
\[2(q-3)\]
(Choice C) None of the above
C
None of the above
To simplify the expression \[-6+4q+(-6q)\], we can combine like terms. The terms involving \(q\) are \(4q\) and \(-6q\), which add up to \(-2q\). So we have \[-6+4q+(-6q) = -6+(-2q) = -6-2q.\]
None of the given choices match this simplified expression. Therefore, the correct answer is \boxed{\text{(C) None of the above}}.
To find the equivalent expressions of \(-6+4q+(-6q)\), let's simplify it step-by-step.
First, let's combine the like terms \(4q\) and \(-6q\):
\(-6+4q+(-6q) = -6 + (4q-6q) = -6 - 2q\)
Next, let's simplify the expression \(-6 - 2q\):
\(-6 - 2q\) is equivalent to \(-2q - 6\) or \(2(q-3)\).
So the expressions that are equivalent to \(-6+4q+(-6q)\) are:
A) \[-6(q+1)-4q\]
B) \[2(q-3)\]
Therefore, the correct answers are A) and B).
To determine which expressions are equivalent to \[-6+4q+(-6q)\], first simplify the given expression.
Starting with the given expression \[-6+4q+(-6q)\], we can combine like terms by adding the coefficients of q.
The expression can be rewritten as \[-6q+4q-6\].
Combining the terms, we get \[-2q-6\].
Now, let's compare this simplified expression with the answer choices.
A) \[-6(q+1)-4q\]:
Distributing -6 into (q+1), we get \[-6q-6-4q = -10q - 6\].
This expression is not equivalent to \[-2q-6\], so Choice A is not correct.
B) \[2(q-3)\]:
Distributing 2 into (q-3), we get \[2q-6\].
This expression is equivalent to \[-2q-6\], so Choice B is correct.
Therefore, the answer choices that apply are:
- Choice B: \[2(q-3)\]