Question

Question
Use the properties of operations to add 9(k+13)+10(12k−1)
.(1 point)
Responses

14k−23
14 k minus Start Fraction 2 over 3 End Fraction

14k+13
14 k plus 13

14k−7
14 k minus 7

1912k−23

Answer 1

To simplify the expression \( 9(k + 13) + 10(12k - 1) \), we will first distribute the coefficients through the parentheses.

1. Distribute \( 9 \) in the first term:
\[
9(k + 13) = 9k + 117
\]

2. Distribute \( 10 \) in the second term:
\[
10(12k - 1) = 120k - 10
\]

3. Now combine the two results:
\[
9k + 117 + 120k - 10
\]

4. Combine like terms:
- For \( k \) terms: \( 9k + 120k = 129k \)
- For constant terms: \( 117 - 10 = 107 \)

So the expression simplifies to:
\[
129k + 107
\]

However, examining the options provided, it looks like none of them match. Let's check the original question for any errors, or see if we missed simplification or any constraints, but based on normal operations, \( 129k + 107 \) is indeed accurate for the given expression.

If we had to select the closest option despite none matching, we would note that the coefficient before \( k \) should be \( 129 \) which is equal to \( 14 \) times \( 9.214285714285714... \) (lots of decimals) and that does not yield any familiar numbers from the options given, indicating a probable error in the selection options.

Thus, the best representations result in:
**Answer: \( 129k + 107 \)** but choose none since no matched selections are provided in the responses. Adjustments based on any feedback or clarity on constraint are always an option if necessary later.