Question

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

14k−7
14 k minus 7

1912k−23
19 Start Fraction 1 over 2 End Fraction k minus Start Fraction 2 over 3 End Fraction

14k+13
14 k plus 13

14k−23
14 k minus Start Fraction 2 over 3 End Fraction
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Answer 1

To simplify the expression \( 9(k + 13) + 10(12k - 1) \), we can use the distributive property.

1. Distribute \( 9 \) through \( (k + 13) \):
\[
9(k + 13) = 9k + 117
\]

2. Distribute \( 10 \) through \( (12k - 1) \):
\[
10(12k - 1) = 120k - 10
\]

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

4. Combine like terms. Combine \( 9k \) and \( 120k \):
\[
(9k + 120k) + (117 - 10) = 129k + 107
\]

So the simplified expression is \( 129k + 107 \).

None of the listed responses match this outcome. Please double-check for any misinterpretation or errors.