Add and Subtract Algebraic Expressions Quick Check
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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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.