Add and Subtract Algebraic Expressions Quick Check 5 of 55 of 5 Items Question Subtract: 2(k−4)−3(2k−1) .(1 point) Responses −4k−11 negative 4 k minus 11 −4k−5 negative 4 k minus 5 8k−11 8 k minus 11 −6k−18

Question

Add and Subtract Algebraic Expressions Quick Check 5 of 55 of 5 Items Question Subtract: 2(k−4)−3(2k−1) .(1 point) Responses −4k−11 negative 4 k minus 11 −4k−5 negative 4 k minus 5 8k−11 8 k minus 11 −6k−18

Answer 1

To subtract 2(k-4)-3(2k-1), we need to distribute the coefficients in each term:

2(k-4) = 2k - 8
3(2k-1) = 6k - 3

Now we can substitute these values back into the original expression and simplify:

2(k-4) - 3(2k-1) = 2k - 8 - (6k - 3)

Next, simplify by distributing the negative sign to each term inside the parentheses:

2k - 8 - 6k + 3 = (2k - 6k) + (-8 + 3)

Combine like terms:

-4k - 5

So, the correct answer is -4k - 5.