Question

How do I solve 15k + 8(11 - k)?

a) 7k + 88
b) 7k - 88
c) 23k - 88
d) 23k + 88

Answer 1

To solve the expression 15k + 8(11 - k), distribute the 8 to get 15k + 88 - 8k, then combine like terms to result in 7k + 88. The correct option is (a) 7k + 88.

Step-by-step explanation:

The question asks us to solve the expression 15k + 8(11 - k). To begin, we distribute the 8 across the terms inside the parentheses:

15k + 8 * 11 - 8 * k

This simplifies to:

15k + 88 - 8k

Now, we combine like terms (the terms with k). This results in:

(15k - 8k) + 88

Which then simplifies further to:

7k + 88

Therefore, the solution to the algebraic expression 15k + 8(11 - k) is 7k + 88, which corresponds to option (a).