Add and Subtract Algebraic Expressions Quick Check

Question

5 of 55 of 5 Items
Question
Subtract: 2(k−4)−3(2k−1).(1 point)
Responses

8k−11
8 k minus 11

−4k−5
negative 4 k minus 5

−6k−18
negative 6 k minus 18

−4k−11
negative 4 k minus 11
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Answer 1

To subtract the expression 2(k−4)−3(2k−1), we need to distribute the coefficients to both terms within the parentheses:

2(k−4) becomes 2k−8
3(2k−1) becomes 6k−3

Now we can combine like terms by combining the terms with similar variables:

2k−8−6k+3

Combining like terms, we get:

(-4k-5)

So the correct response is: -4k-5, which reads as negative 4k minus 5.