Combine the like terms: 4k + 5k - 2k.

Combine the like terms: 4k + 5k - 2k.

• A. 7k
• B. 6k
• C. 8k
• D. 5k

Answer: (A)

To combine the like terms in the expression \(4k + 5k - 2k\), you need to focus on the coefficients of the term with the variable \(k\). Start with the positive coefficients: \(4k\) and \(5k\). When you add these, you get \(4 + 5 = 9\), which gives you \(9k\). Next, you have \(-2k\), which means you need to subtract \(2\) from \(9\). So, the calculation looks like this: \[ 9k - 2k = (9 - 2)k = 7k \] Thus, the combined result of the equation is \(7k\). This is why the answer is correct. It reflects the proper application of the combining like terms method, where you group and simplify terms with the same variable.

To combine the like terms in the expression (4k + 5k - 2k), you need to focus on the coefficients of the term with the variable (k).

Start with the positive coefficients: (4k) and (5k). When you add these, you get (4 + 5 = 9), which gives you (9k). Next, you have (-2k), which means you need to subtract (2) from (9).

So, the calculation looks like this:

[

9k - 2k = (9 - 2)k = 7k

]

Thus, the combined result of the equation is (7k). This is why the answer is correct. It reflects the proper application of the combining like terms method, where you group and simplify terms with the same variable.